Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. The only difference is that when you divide or multiply by a negative number, you must flip the inequality sign. Here, we can add 8 on both sides, so the inequality sign remains the same.
This expression tells us that all values less than or equal to 15 will satisfy the inequality. Note that r can be equal to 15, which we show with a closed circle on the number line.
b
To solve the inequality we'll add 26 on both sides to isolate h.
This expression tells us that all values less than 30 will satisfy the inequality. Note that h cannot be equal to 30, which we show with an open circle on the number line.
