Exercise 19 Page 174

The above tells us that all values greater than 12 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that p cannot equal 12, which we show with an open dot on the number line.

Checking Our Solution

We can check our solution by substituting a few values into the given inequality. The value satisfies the inequality if the inequality remains true after substituting and simplifying.

We can conclude that, as long as p is greater than 12, the inequality is satisfied.