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

Choice C

The solution is

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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Explanation:

see note below

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.

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step-by-step explanation: