Subjects algebra

Inequalities Interpretation

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Inequalities Interpretation


1. **Problem 37:** Which inequality represents "Rehan is at most 22 years of age" if Rehan's age is $R$? - "At most 22" means Rehan's age can be 22 or any number less than 22. - Thus, the inequality is $$R \leq 22$$. 2. **Problem 38:** The sign says: "All riders MUST be at least 48 inches tall." - "At least 48" means height $h$ is 48 or greater. - So, $$h \geq 48$$ correctly translates the statement. 3. **Problem 39:** The number of labor hours $x$ is "not less than 2 1/2 nor more than 4". - "Not less than 2 1/2" means $x \geq 2.5$. - "Nor more than 4" means $x \leq 4$. - Combining gives the double inequality: $$2.5 \leq x \leq 4$$ **Final Answers:** 37. (a) $$R \leq 22$$ 38. (b) $$h \geq 48$$ 39. (c) $$2.5 \leq x \leq 4$$