Question

solve the following inequality for q. write your answer in simplest form.
-5q + 7 ≥ -9q - 1
answer attempt 1 out of 2
q < ~
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Explanation:

Step1: Add \(9q\) to both sides

To isolate the variable terms, we add \(9q\) to each side of the inequality \(-5q + 7 \geq -9q - 1\). This gives \(-5q + 9q + 7 \geq -9q + 9q - 1\), which simplifies to \(4q + 7 \geq -1\).

Step2: Subtract 7 from both sides

Next, we subtract 7 from both sides to isolate the term with \(q\). So, \(4q + 7 - 7 \geq -1 - 7\), which simplifies to \(4q \geq -8\).

Step3: Divide by 4

Finally, we divide both sides by 4 to solve for \(q\). \(\frac{4q}{4} \geq \frac{-8}{4}\), which simplifies to \(q \geq -2\).

Answer:

\(q \geq -2\)