Question

5(x-3) -6(x-2) ≤ 8
also please add the steps

Answer 1

x ≥ -11

Explanation:

Step 1: Simplify both sides of the inequality.

• 
  `(5)(x)+(5)(-3)+(-6)(x)+(-6)(-2) \leq 8`
• 
  `5x - 15 -6x + 12 \leq 8`
• 
  `(5x-6x) + (-15+12) \leq 8`
• 
  `-x - 3 \leq 8`

Step 2: Add 3 to both sides of the inequality.

• 
  `-x - 3 + 3\leq 8 + 3`
• 
  `-x \leq 11`

Step 3: Divide both sides of the inequality by -1 and flip the sign.

• 
  `(-x)/(-1) \leq (11)/(-1)`
• 
  `x \geq -11`

Therefore, the answer is x ≥ -11.