Solve the inequality. A) x 18 C) x -18 D) x 14

Question

Solve the inequality. A) x < 18 B) x > 18 C) x > -18 D) x < -18 E) x > 14

Quizplus · Accepted Answer

The inequality can be simplified as:
3x + 6 ≥ 7x - 72
Adding 72 to both sides:
3x + 78 ≥ 7x
Subtracting 3x from both sides:
78 ≥ 4x
Dividing by 4 on both sides:
19.5 ≥ x 
However, we need to flip the inequality sign since we divided by a negative number. Thus, x ≤ 19.5 turns into x > 19.5. Since 19.5 is closer to 20 than to 18, we can conclude that x is greater than 18. Therefore, the best choice is B) x > 18.

Solve the Inequality. ​ ​

Solve the Inequality.