Question

Solve the inequality, show your work: -5x + 2 > 37

Answer 1

Let's first move our numbers to the right

by subtracting 2 from both sides.

On the left, the +2 -2 cancels and we have -5x

and on the right, 37 - 2 simplifies to 35.

So we have -5x > 35.

Now divided both sides by -5.

However, when you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So dividing both sides by -5, we have x < -7.