Question

What is the first step in solving -5x > 6?

a) Add 6 to both sides.
b) Subtract 6 from both sides.
c) Divide both sides by -5.
d) Multiply both sides by -5.

Answer 1

The first step in solving the inequality -5x > 6 is to c) divide both sides by -5.

Step-by-step explanation:

The first step in solving the inequality -5x > 6 is to divide both sides by -5. This step is necessary to isolate the variable x and solve for it. When dividing both sides by -5, we have to be careful with the sign of the inequality.

Since we are dividing by a negative number, the inequality sign must be flipped to maintain the same direction. So the correct answer is option c) Divide both sides by -5.