Question

question 4/25
which of the following inequalities could be the result of the first step in solving the inequality
3(x - 4) ≤ 8x + 13 for x ?
a) 3x - 4 ≤ 8x + 13
b) x - 4 ≤ 8x + 10
c) x - 4 ≤ \\(\frac{8}{3}\\)x + 13
d) 3x - 12 ≤ 8x + 13

Explanation:

Step1: Expand left side

The left side is 3(x - 4). Using the distributive property a(b - c) = ab - ac, we get 3x - 34 = 3x - 12. The right side remains unchanged. So the inequality becomes 3x - 12 ≤ 8x + 13.

Answer:

D. 3x - 12 ≤ 8x + 13