Question

Use the inequality to answer the following question. 2 ( x − 7 ) ≤ 6 x + 15 Which of the following inequalities could be the result of the first step in solving the inequality for x?

Answer 1

x≥-29/4

Step by step explanation:

2x−2·7≤6x+15

2x−14≤6x+15

(2x−14)+(14−6x)≤(6x+15)+(14−6x)

(2x−14)+(−6x+14)≤(6x+15)+(−6x+14)

2x−14−6x+14≤6x+15−6x+14

2x−6x−14+14≤6x−6x+15+14

−4x≤29

x≥−29/4

Answer 2

2 (x - 7)

Because PEMDAS solve the parentheses first