Question

2x – 3 > -4x + 2 What is the solution to the inequality

Answer 1

Answer:

$x>\frac{5}{6}$

Step-by-step explanation:

$2x-3>-4x+2$

Add 3 to both sides

$2x-3+3>-4x+2+3$

Simplify

$2x>-4x+5$

Add $4x$ to both sides

$2x+4x>-4x+5+4x$

Simplify

$6x>5$

Divide both sides by 6

$\frac{6x}{6} >\frac{5}{6}$

Simplify

$x>\frac{5}{6}$