solve for x: 3 - (2x - 5) < -4(x + 2)

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the inequality: 3 - (2x - 5) < -4(x + 2)

Solution:

In order to solve x in the equation, simply solve each expression individually

= 3 - (2x - 5) < -4(x + 2)
= 3 - 2x - 5 < -4x + 8

= 2x - 2  < -4x + 8

Transpose Similar variable in one side of the equation.

= 2x+4x  < 8+2

= 6x < 10

Divide both sides by 6 in order to get the value of x

= x < 10 / 6

or

= x < 5/3