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Solve the inequality and graph the solution.
9(p - 9) + 7> (-2)

User Rits
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Final answer:

The solution to the inequality 9(p - 9) + 7 > -2 is p > 8. On a graph, this is represented by an open circle at p = 8 and shading to the right indicating all p-values greater than 8.

Step-by-step explanation:

To solve the inequality 9(p - 9) + 7 > -2, first distribute the 9 into the parentheses:

9p - 81 + 7 > -2

Next, combine like terms on the left side of the inequality:

9p - 74 > -2

Now, add 74 to both sides of the inequality to isolate the term with p on one side:

9p > 72

Divide both sides by 9 to find the p-value:

p > 8

To sketch a graph of this situation, draw a number line with an open circle at 8 to indicate that 8 is not included in the solution set. Then, shade the area to the right of 8 to represent all numbers greater than 8.

Label and scale the x-axis accordingly, and mark the point p = 8 clearly on the axis.

User Gbemisola
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