Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

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

hint Hint:

LCM of a set of numbers is the Least Common Multiple of those numbers. 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 2:
Find the LCM of the inequality;
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 0.25 x plus 3 minus fraction numerator 7 x over denominator 8 end fraction less than negative 2 end cell row cell fraction numerator 2 x plus 24 minus 7 x over denominator 8 end fraction less than fraction numerator negative 16 over denominator 8 end fraction end cell row cell 2 x plus 24 minus 7 x less than negative 16 end cell end table$
Step 2 of 2:
Rearrange and solve the inequality;
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 x plus 24 minus 7 x less than negative 16 end cell row cell 24 plus 16 less than 7 x minus 2 x end cell row cell 40 less than 5 x end cell row cell 40 over 5 less than x end cell row cell 8 less than x end cell end table$
Thus, there exists infinite number of solutions for the inequality.

A linear inequality can also be solved by graphing it.

Related Questions to study

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?

$negative x plus y equals negative 3.5$
$x plus 3 y equals 9.5$
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:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

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

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

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

parallel

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 ?

parallel

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

parallel

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.

$M equals 1 comma 800 left parenthesis 1.02 right parenthesis to the power of t$
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

parallel

Solve each inequality and graph the solution :
2(3x-1)<16

Solve each inequality and graph the solution :
2(3x-1)<16

What solution do you obtain for the system of equations by graphing ? What is the exact solution ?
Y= 5X-4
Y= -6X+14

What solution do you obtain for the system of equations by graphing ? What is the exact solution ?
Y= 5X-4
Y= -6X+14

Solve each inequality and graph the solution :
-2(1-3x)>16

Solve each inequality and graph the solution :
-2(1-3x)>16

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.