Question

Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
-2z+9≤ 5z - 12
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Point
Open Point
Ray
O
Click on a tool to begin drawing.
-10
-8
0
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8
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10

Answer 1

Answer: z ≥ 3; plot a closed dot at "3" going to the right. Don't forget to add the arrow to signal that it goes forever.

Step-by-step explanation:

To solve -2z+9≤ 5z - 12:

-2z+9≤ 5z - 12

Subtract 9 from both sides of the equation:

-2z ≤ 5z - 21

Subtract 5z from both sides of the equation:

-7z ≤ -21

Divide both sides of the equation by -7:

z ≥ 3; the sign flips since we are dividing by a negative.