What is the solution to this inequality? 2(x - 4) < 5x + 4 A. x < 4 B. x > -4 C. x > - D. x <

Question

asked Nov 22, 2020 213k views

1 Answer

Ganeshragav · Answer 1 · 2020-11-27T11:13:01+0000

For this case we have the following inequality:

2 (x-4) <5x + 4

We apply distributive property on the left side of inequality:

2x-8 <5x + 4

We subtract 5x on both sides of the inequality:

$2x-5x-8 <4\\-3x-8 <4$

We add 8 to both of the inequality:

$-3x <4 + 8\\-3x <12$

We divide between 3 on both sides of the inequality:

$-x <\frac {12} {3}\\-x <4$

We multiply by -1 on both sides taking into account that the sense of inequality changes.

x> -4

Answer: