Answer:
the most efficient way to find the solution of the inequality p + 5 > -13 is to subtract 5 from both sides.
Here's why:
1. Clear check: This method involves substituting 5 for p and checking if it satisfies the inequality. However, this method is not efficient because it only checks one specific value, and we need to find the solution that works for all possible values of p.
2. Add 5 to both sides: This method involves adding 5 to both sides of the inequality. However, this will not help us isolate the variable p on one side of the inequality, which is necessary to find the solution.
3. Subtract 5 from both sides and switch the inequality symbol: This method involves subtracting 5 from both sides of the inequality and switching the inequality symbol. However, this is not the most efficient method because we need to isolate the variable p on one side of the inequality to find the solution.
4. Subtract 5 from both sides: This method is the most efficient way to solve the inequality. By subtracting 5 from both sides, we can isolate the variable p on one side of the inequality:
p + 5 - 5 > -13 - 5
p > -18
Therefore, the solution to the inequality p + 5 > -13 is p > -18, which means that any value of p greater than -18 will satisfy the inequality.
Explanation: