consider the inequality -5(x+7)<10. write the inequality representing the solution for x.

Answer 1

-5(x+7)<10

Divide both sides by -5

When dividing by a negative number, you need to switch the direction of the inequality

x+7 > (10/ -5)

Simplify

x+7 > -2

Subtract 7 from both sides

x > -2 - 7

Simplify

x > -9

This will be a dotted vertical line at x = -9, shaded to the right