Question

Solve each inequality, if possible.

5. 6w + 5 > 2(3w + 3)
a. w > 2
b. w < 2
c. w ≥ 2
d. w ≤ 2

Answer 1

To solve the inequality 6w + 5 > 2(3w + 3), we apply the distributive property and eliminate like terms to simplify the inequality to 5 > 6. The solution is w < 2.

Step-by-step explanation:

To solve the inequality 6w + 5 > 2(3w + 3), we will apply the distributive property by multiplying 2 with each term inside the parentheses: 6w + 5 > 6w + 6.

Next, we will eliminate like terms to simplify the inequality: 6w + 5 > 6w + 6 -> 5 > 6.

Since the inequality 5 > 6 is not true, the solution is w < 2.

Therefore, the correct answer is (b) w < 2.