z-8-5<-3

Move the negative in front of the fraction.

-z8-5<-3

Add 5 to both sides of the inequality.

-z8<-3+5

Add -3 and 5.

-z8<2

-z8<2

Multiply each term in -z8<2 by -1. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

-z8⋅-1>2⋅-1

Multiply -z8⋅-1.

Multiply -1 by -1.

1z8>2⋅-1

Multiply z8 by 1.

z8>2⋅-1

z8>2⋅-1

Multiply 2 by -1.

z8>-2

z8>-2

Multiply both sides of the equation by 8.

z>-2⋅8

Multiply -2 by 8.

z>-16

The result can be shown in multiple forms.

Inequality Form:

z>-16

Interval Notation:

(-16,∞)

Solve for z z/-8-5<-3