5x + 38 ≤ 4(2 – 5x)?

Question

asked Dec 12, 2018 182k views

2 Answers

Armell · Answer 1 · 2018-12-17T17:32:30+0000

Answer:

The value of x should be less than or equal to -6/5 or -1.2

In interval notation: (-∞,-6/5)

Explanation:

Consider the provided inequality.

$5x + 38 \leq 4(2 - 5x)$

We need to solve the inequity for x.

$5x + 38 \leq 8-20x$

Subtract 38 from both sides.

$5x+38-38\le \:8-20x-38$

$5x\le \:-20x-30$

Add 20x to the both sides.

$5x+20x\le \:-20x-30+20x$

$25x\le \:-30$

Divide both sides by 25.

$(25x)/(25)\le (-30)/(25)$

$x\le \:-(6)/(5)$ or
$x\le \:-1.2$

Hence, the value of x should be less than or equal to -6/5 or -1.2