-8x+18>-22

Subtract 18 from both sides of the inequality.

-8x>-22-18

Subtract 18 from -22.

-8x>-40

-8x>-40

Divide each term in -8x>-40 by -8. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

-8x-8<-40-8

Cancel the common factor of -8.

Cancel the common factor.

-8x-8<-40-8

Divide x by 1.

x<-40-8

x<-40-8

Divide -40 by -8.

x<5

x<5

The result can be shown in multiple forms.

Inequality Form:

x<5

Interval Notation:

(-∞,5)

Solve for x -8x+18>-22