Maths-

General

Easy

Question

Solve each inequality and tell whether it has infinitely many or no solution:
7.2x+6≤2.4x

hint Hint:

Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to solve the inequality and check whether there exists infinite or no solutions.

The correct answer is: x≤-1.25

Step 1 of 1:
Rearrange and solve the inequality;
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 7.2 x plus 6 less or equal than 2.4 x end cell row cell 7.2 x minus 2.4 x less or equal than negative 6 end cell row cell 4.8 x less or equal than negative 6 end cell row cell x less or equal than fraction numerator negative 6 over denominator 4.8 end fraction end cell row cell x less or equal than fraction numerator negative 60 over denominator 48 end fraction end cell row cell x less or equal than negative 1.25 end cell end table$
Thus, the inequality has infinite number of solutions.

A linear inequality could possibly have infinite number of solutions. But it is not necessary that it should be true for every inequality.

Solve each inequality and tell whether it has infinitely many or no solution:
4(3-2x)≥-4

Maths-General

General

Maths-

Solve each inequality and tell whether it has infinitely many or no solution:
-2(2x+1)<24

Maths-General

General

Maths-

Solve each inequality and tell whether it has infinitely many or no solution:
$0.25 x plus 3 minus fraction numerator 7 x over denominator 8 end fraction less than negative 2$

Maths-General

General

Maths-

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

Maths-General

General

Maths-

$negative x plus y equals negative 3.5$
$x plus 3 y equals 9.5$
If (x, y) satisfies the system of equations above, what is the value of y ?

Maths-General

General

Maths-

Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

Note:
You can solve any linear inequality by graphing them.

Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

Maths-General

Note:
You can solve any linear inequality by graphing them.

General

Maths-

Which of the following equations relates y to x for the values in the table above?

Maths-General

General

Maths-

Solve each inequality and graph the solution:
-2(x-5)≥-3x-14

Maths-General

General

Maths-

The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010 . If the relationship between population and year is linear, which of the following functions p models the population of Greenleaf t years after 2000 ?

Maths-General

General

Maths-

Solve each inequality and graph the solution:
3x-24≤-2(2x-30)

Maths-General

General

Maths-

The sum of $negative 2 x squared plus x plus 31$ and $3 x squared plus 7 x minus 8$ can be written in the form $a x squared plus b x plus c$ , where a, b, and c are constants. What is the value of a + b + c ?

Maths-General

General

Maths-

Solve each inequality and graph the solution:
2(7x-2)>9x+6

Maths-General

General

Maths-

How does a graph of system of equations with one solution differ from the graph of a system of equations with infinitely many solutions or no solution.

Maths-General

General

Maths-

$M equals 1 comma 800 left parenthesis 1.02 right parenthesis to the power of t$
The equation above models the number of members, m , of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?

Maths-General

General

Maths-

Solve each inequality and graph the solution:
2x+5<3x+4

Maths-General

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Solve each inequality and tell whether it has infinitely many or no solution:7.2x+6≤2.4x

Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .We are asked to solve the inequality and check whether there exists infinite or no solutions.

The correct answer is: x≤-1.25

Step 1 of 1:Rearrange and solve the inequality;Thus, the inequality has infinite number of solutions.

Related Questions to study

Solve each inequality and tell whether it has infinitely many or no solution:4(3-2x)≥-4

Solve each inequality and tell whether it has infinitely many or no solution:4(3-2x)≥-4

Solve each inequality and tell whether it has infinitely many or no solution:-2(2x+1)<24

Solve each inequality and tell whether it has infinitely many or no solution:-2(2x+1)<24

Solve each inequality and tell whether it has infinitely many or no solution:

Solve each inequality and tell whether it has infinitely many or no solution:

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

If (x, y) satisfies the system of equations above, what is the value of y ?

If (x, y) satisfies the system of equations above, what is the value of y ?

Solve each inequality and tell whether it has infinitely many or no solution:

Solve each inequality and tell whether it has infinitely many or no solution:

Which of the following equations relates y to x for the values in the table above?

Which of the following equations relates y to x for the values in the table above?

Solve each inequality and graph the solution:-2(x-5)≥-3x-14

Solve each inequality and graph the solution:-2(x-5)≥-3x-14

The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010 . If the relationship between population and year is linear, which of the following functions p models the population of Greenleaf t years after 2000 ?

The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010 . If the relationship between population and year is linear, which of the following functions p models the population of Greenleaf t years after 2000 ?

Solve each inequality and graph the solution:3x-24≤-2(2x-30)

Solve each inequality and graph the solution:3x-24≤-2(2x-30)

The sum of and can be written in the form , where a, b, and c are constants. What is the value of a + b + c ?

The sum of and can be written in the form , where a, b, and c are constants. What is the value of a + b + c ?

Solve each inequality and graph the solution:2(7x-2)>9x+6

Solve each inequality and graph the solution:2(7x-2)>9x+6

How does a graph of system of equations with one solution differ from the graph of a system of equations with infinitely many solutions or no solution.

How does a graph of system of equations with one solution differ from the graph of a system of equations with infinitely many solutions or no solution.

The equation above models the number of members, m , of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?

The equation above models the number of members, m , of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?

Solve each inequality and graph the solution:2x+5<3x+4

Solve each inequality and graph the solution:2x+5<3x+4

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Solve each inequality and tell whether it has infinitely many or no solution:
7.2x+6≤2.4x

Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to solve the inequality and check whether there exists infinite or no solutions.

Solve each inequality and tell whether it has infinitely many or no solution:
4(3-2x)≥-4

Solve each inequality and tell whether it has infinitely many or no solution:
4(3-2x)≥-4

Solve each inequality and tell whether it has infinitely many or no solution:
-2(2x+1)<24

Solve each inequality and tell whether it has infinitely many or no solution:
-2(2x+1)<24

Solve each inequality and tell whether it has infinitely many or no solution:
$0.25 x plus 3 minus fraction numerator 7 x over denominator 8 end fraction less than negative 2$

Solve each inequality and tell whether it has infinitely many or no solution:
$0.25 x plus 3 minus fraction numerator 7 x over denominator 8 end fraction less than negative 2$

$negative x plus y equals negative 3.5$
$x plus 3 y equals 9.5$
If (x, y) satisfies the system of equations above, what is the value of y ?

$negative x plus y equals negative 3.5$
$x plus 3 y equals 9.5$
If (x, y) satisfies the system of equations above, what is the value of y ?

Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

Solve each inequality and graph the solution:
-2(x-5)≥-3x-14

Solve each inequality and graph the solution:
-2(x-5)≥-3x-14

Solve each inequality and graph the solution:
3x-24≤-2(2x-30)

Solve each inequality and graph the solution:
3x-24≤-2(2x-30)

The sum of $negative 2 x squared plus x plus 31$ and $3 x squared plus 7 x minus 8$ can be written in the form $a x squared plus b x plus c$ , where a, b, and c are constants. What is the value of a + b + c ?

The sum of $negative 2 x squared plus x plus 31$ and $3 x squared plus 7 x minus 8$ can be written in the form $a x squared plus b x plus c$ , where a, b, and c are constants. What is the value of a + b + c ?

Solve each inequality and graph the solution:
2(7x-2)>9x+6

Solve each inequality and graph the solution:
2(7x-2)>9x+6

$M equals 1 comma 800 left parenthesis 1.02 right parenthesis to the power of t$
The equation above models the number of members, m , of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?

$M equals 1 comma 800 left parenthesis 1.02 right parenthesis to the power of t$
The equation above models the number of members, m , of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?

Solve each inequality and graph the solution:
2x+5<3x+4

Solve each inequality and graph the solution:
2x+5<3x+4