Question

solve for p and graph the solution.
-9|p - 940| > -180
click two endpoints to graph a line segment, an endpoint and an arrowhead to graph a ray, or two arrowheads to graph a line. to change endpoints from filled - in circles to empty circles, click on them.
0 935 940 945 950 955 960 965 970 975
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Explanation:

Step1: Isolate the absolute - value expression

Divide both sides of the inequality $-9|p - 940|>-180$ by $-9$. Remember to reverse the inequality sign when dividing by a negative number. So we get $|p - 940|<20$.

Step2: Rewrite the absolute - value inequality as a compound inequality

If $|x|0$), then $-a < x < a$. Here, $x=p - 940$ and $a = 20$. So $-20

Step3: Solve the compound inequality for $p$

Add 940 to all parts of the compound inequality: $-20+940

To graph the solution on the number - line:

• Click on the points 920 and 960.
• Change the endpoints from filled - in circles to empty circles (since the inequality is strict, $p$ cannot equal 920 or 960).

Answer:

The solution of the inequality is $920