What is the solution to this inequality?

- 13x < 65

ОА. x>-5

ОВ. Х< - 5

Ос. x> 5

OD. Х< 5

Answer: x > - 5

Step-by-step explanation: When you're asked to solve an inequality like - 13x < 65, your goal should be the same as it was when solving equations, to get x by itself on one side.

In this problem since x is being multiplied by - 13 on the left side of the inequality, to get x by itself, we divide both sides by - 13 but here is the rule you have to watch out for when solving inequalities.

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

So this in our second step.

On the left side, the - 13's cancel and we are left with x and on the right side 65 divided by - 13 is - 5. So we have x > - 5.