QuestionApril 16, 2026

Which of the following are solutions to the inequality below?Select all that apply. 9geqslant (9)/(26)+8 q=26 q=52 q=78 q=130

Which of the following are solutions to the inequality below?Select all that apply. 9geqslant (9)/(26)+8 q=26 q=52 q=78 q=130
Which of the following are solutions to the
inequality below?Select all that apply.
9geqslant (9)/(26)+8
q=26
q=52
q=78
q=130

Solution
4.0(330 votes)

Answer

None of the given values are solutions. Explanation 1. Simplify the inequality 9 \geq \frac{9}{26}q + 8 Subtract 8 from both sides: 1 \geq \frac{9}{26}q 2. Solve for q Multiply both sides by 26: 26 \geq 9q Divide both sides by 9: q \leq \frac{26}{9} \approx 2.89 3. Check given values All provided values (26, 52, 78, 130) are greater than 2.89, so none satisfy the inequality.

Explanation

1. Simplify the inequality <br /> $9 \geq \frac{9}{26}q + 8$ <br />Subtract 8 from both sides: <br />$1 \geq \frac{9}{26}q$<br /><br />2. Solve for $q$ <br /> Multiply both sides by 26: <br />$26 \geq 9q$ <br />Divide both sides by 9: <br />$q \leq \frac{26}{9} \approx 2.89$<br /><br />3. Check given values <br /> All provided values ($26, 52, 78, 130$) are greater than $2.89$, so none satisfy the inequality.
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