Question

question
solve the following inequality for q. write your answer in simplest form.
-7q - 8 > -6q - 4
answer attempt 1 out of 2
q < >
1
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Explanation:

Step1: Add \(7q\) to both sides

To isolate the variable terms, we add \(7q\) to each side of the inequality \(-7q - 8 > -6q - 4\). This gives us \(-8 > q - 4\).

Step2: Add 4 to both sides

Next, we add 4 to both sides of the inequality \(-8 > q - 4\) to solve for \(q\) (or \(d\), but the variable here is \(q\) in the inequality, likely a typo and should be consistent). Adding 4 to both sides: \(-8 + 4 > q\), which simplifies to \(-4 > q\) or \(q < -4\). Since the variable in the input box is \(d\), assuming it's a typo and the variable is \(q\) (or \(d\) is \(q\)), the solution is \(d < -4\) (if we consider \(d\) as the variable). Wait, let's re - do with \(d\) as the variable. The inequality is \(-7d - 8 > -6d - 4\).

Step1 (correct with \(d\)): Add \(7d\) to both sides

\(-7d - 8+7d > - 6d - 4 + 7d\), which simplifies to \(-8 > d - 4\).

Step2 (correct with \(d\)): Add 4 to both sides

\(-8 + 4>d-4 + 4\), so \(-4 > d\) or \(d < - 4\).

Answer:

\(d < - 4\)