Question

Consider the inequality -5(x 7) -10. Write an inequality representing the solution for x.

Answer 1

remember, when multiply or divide by a negative, flip sign


-5(x+7)<-10
means
-5 times (x+7)<-10
divide both sides by -5
don't forget to flip sign
x+7>2
subtract 7 from both sides
x>-5

Answer 2

x > -5

Explanation:

Given inequality

-5(x+7)<-10

Solve the given inequality for x

Distribute -5 inside the parenthesis

-5x -35 < -10

Now add 35 on both sides

-5x < 25

Divide both sides by -5, when we divide inequality by negative number we flip the inequality symbol. less than becomes greater than

x > -5