Answer: The solution is,
[tex]x\leq -\frac{23}{4}[/tex] or [tex]x>-2[/tex]
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,
[tex]-x \geq \frac{46}{8}[/tex] or [tex]-x < \frac{8}{4}[/tex]
Using property a > b ⇒ - a < -b,
[tex]x\leq -\frac{23}{4}[/tex] or [tex]x>-2[/tex]
