Question

What is the solution to the inequality -6x < 54?

A) x > 9
B) x < -9
C) x < 9
D) x > -9

Answer 1

The solution to the inequality -6x < 54 is found by dividing both sides by -6 and reversing the inequality sign, resulting in x > -9, which corresponds to answer choice D.

Step-by-step explanation:

To solve the inequality -6x < 54, divide both sides of the inequality by -6, remembering to reverse the inequality sign because you're dividing by a negative number. The solution is then x > -9.

Here is the step-by-step solution:

1. Divide each side by -6: -6x / -6 < 54 / -6.
2. Simplify: x > -9.

Therefore, the correct answer is D) x > -9.