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Question

Solve each inequality and tell whether it has infinitely many or no solution:
0.5x+8<2x-4

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: 8 < X

Step 1 of 1:
Rearrange and solve the inequality;
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 0.5 x plus 8 less than 2 x minus 4 end cell row cell 4 plus 8 less than 2 x minus 0.5 x end cell row cell 12 less than 1.5 x end cell row cell fraction numerator 12 over denominator 1.5 end fraction less than x end cell row cell 120 over 15 less than x end cell row cell 8 less than x end cell end table$
Here, 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.

In the $x y.$ -plane, the point $left parenthesis p comma r right parenthesis$ lies on the line with equation $y equals x plus b$ , where b is a constant. The point with coordinates $left parenthesis 2 p comma 5 r right parenthesis$ lies on the line with equation $y equals 2 x plus b$ . If $p not equal to 0$ , what is the value of $r over p$ ?

Maths-General

General

Maths-

One pound of grapes costs $straight $ 2$ . At this rate, how many dollars will c pounds of grapes cost?

Maths-General

General

Maths-

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio $fraction numerator B C over denominator A B end fraction$ ?

Maths-General

General

Maths-

Solve each inequality and tell whether it has infinitely many or no solution:
-2x-5≥3x-25

Maths-General

General

Maths-

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

Maths-General

General

Maths-

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

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Solve each inequality and tell whether it has infinitely many or no solution:0.5x+8<2x-4

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: 8 < X

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

Related Questions to study

In the -plane, the point lies on the line with equation , where b is a constant. The point with coordinates lies on the line with equation . If , what is the value of ?

In the -plane, the point lies on the line with equation , where b is a constant. The point with coordinates lies on the line with equation . If , what is the value of ?

One pound of grapes costs . At this rate, how many dollars will c pounds of grapes cost?

One pound of grapes costs . At this rate, how many dollars will c pounds of grapes cost?

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio ?

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio ?

Solve each inequality and tell whether it has infinitely many or no solution:-2x-5≥3x-25

Solve each inequality and tell whether it has infinitely many or no solution:-2x-5≥3x-25

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

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

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)

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Solve each inequality and tell whether it has infinitely many or no solution:
0.5x+8<2x-4

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.

One pound of grapes costs $straight $ 2$ . At this rate, how many dollars will c pounds of grapes cost?

One pound of grapes costs $straight $ 2$ . At this rate, how many dollars will c pounds of grapes cost?

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio $fraction numerator B C over denominator A B end fraction$ ?

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio $fraction numerator B C over denominator A B end fraction$ ?

Solve each inequality and tell whether it has infinitely many or no solution:
-2x-5≥3x-25

Solve each inequality and tell whether it has infinitely many or no solution:
-2x-5≥3x-25

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

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

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)