Question

question 10
(01.05 mc)
walter is helping to make cookies for a basketball tournament. hes made 15 cookies so far. his coach asked him to make at least 20 cookies but no more than 55. solve the inequality and interpret the solution.
20 ≤ x + 15 ≤ 55
5 ≤ x ≤ 40; walter needs to make at least 5 more cookies but no more than 40.
5 ≤ x ≤ 40; walter needs to make less than 5 more cookies or more than 40.
35 ≤ x ≤ 70; walter needs to make at least 35 more cookies but no more than 70.
35 ≤ x ≤ 70; walter needs to make less than 35 more cookies or more than 70.

Explanation:

Step1: Subtract 15 from all parts of the inequality

Given $20\leq x + 15\leq55$. Subtracting 15 from each part gives $20-15\leq x+15 - 15\leq55 - 15$.
$5\leq x\leq40$

Step2: Interpret the solution

The variable $x$ represents the number of additional cookies Walter needs to make. The inequality $5\leq x\leq40$ means Walter needs to make at least 5 more cookies but no more than 40.

Answer:

$5\leq x\leq40$; Walter needs to make at least 5 more cookies but no more than 40.