Question

-4z<-32 choose the correct graph for the inequality?

Answer 1

It is the third graph

Step-by-step explanation:

Answer 2

Answer: Choice C

The solution is
`z \ge 8`

The graph has an closed filled in circle at 8 on the number line, with shading to the right of that closed circle.

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Step-by-step explanation:

`-4z \le -32`

`(-4z)/(-4) \ge (-32)/(-4)` see note below

`z \ge 8`

note: I divided both sides by -4 to undo the multiplication done to z; the inequality sign flips because we divided both sides by a negative number

So the solution set is the set of z values such that z is 8 or larger. We are including the endpoint 8 so we use a filled in closed circle (not an open circle or hole). We include the endpoint because of the "or equal to" as part of ht inequality sign.