What is the solution to this inequality?
— 13x < 65
ОА. x>-5
ОВ. Х< -5
Ос. x> 5
OD. Х< 5

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 original problem becomes > 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.