Problem

Solve for $j$ and graph the solution.
\[
0 \geq j+12> -1
\]

Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of a segment, ray, or line to delete it.
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Answer

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Answer

So, the solution to the inequality is \(\boxed{j \in (-13, -12]}\) and the graph of the solution is a line segment from -13 (open circle) to -12 (closed circle) on the number line.

Steps

Step 1 :Subtract 12 from all parts of the inequality to isolate j, giving \(-12 \geq j > -13\).

Step 2 :This inequality tells us that j is greater than -13 and less than or equal to -12.

Step 3 :To graph this solution, draw a number line and mark the points -13 and -12.

Step 4 :Since j is greater than -13 but not equal to -13, draw an open circle at -13.

Step 5 :Since j is less than or equal to -12, draw a closed circle at -12.

Step 6 :Draw a line segment connecting the two circles to represent all the possible values of j.

Step 7 :So, the solution to the inequality is \(\boxed{j \in (-13, -12]}\) and the graph of the solution is a line segment from -13 (open circle) to -12 (closed circle) on the number line.

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