Question

Solve for x. −8x+14≥60 OR −4x+50<58

Answer 1

Answer: The solution is,

$x\leq -\frac{23}{4}$ or $x>-2$

Step-by-step explanation:

Given compound inequality,

-8x + 14 ≥ 60 or -4x + 50 < 58,

By the subtraction property of inequality,

-8x + 14 - 14 ≥ 60 - 14 or -4x + 50 - 50  < 58 -50,

-8x ≥ 46 or -4x < 8

By the division property of inequality,

$-x \geq \frac{46}{8}$ or $-x < \frac{8}{4}$

Using property a > b ⇒ - a < -b,

$x\leq -\frac{23}{4}$ or $x>-2$