Answer:
x ≥ -11
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
- [tex](5)(x)+(5)(-3)+(-6)(x)+(-6)(-2) \leq 8[/tex]
- [tex]5x - 15 -6x + 12 \leq 8[/tex]
- [tex](5x-6x) + (-15+12) \leq 8[/tex]
- [tex]-x - 3 \leq 8[/tex]
Step 2: Add 3 to both sides of the inequality.
- [tex]-x - 3 + 3\leq 8 + 3[/tex]
- [tex]-x \leq 11[/tex]
Step 3: Divide both sides of the inequality by -1 and flip the sign.
- [tex]\frac{-x}{-1} \leq \frac{11}{-1}[/tex]
- [tex]x \geq -11[/tex]
Therefore, the answer is x ≥ -11.
