What is the set solution for 4x-3>5 or -2x-7>1

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the inequalities:

4x-3>5 

 -2x-7>1

Determine the solution for each inequality.

Solution:

Solve for the inequality separately in terms of x

4x -3 > 5

4x > 5 + 3

4x > 8

x > 2

x is greater than 2

-2x - 7  > 1

-2x > 1 + 7

-2x > 8

In solving for inequalities, whenever a negative number is multiplied or divided, the inequality sign changes. This means that when we divide -2 on both sides of the equation, the inequality sign will change.

x < -4

x is less than -4