Problem

Solve the following inequality for $q$. Write your answer in simplest form. \[ -7 q-8>-6 q-4 \] Answer Attempt 1 out of 2 \[ q

Solution

Step 1 :Start with the inequality -7q - 8 > -6q - 4.

Step 2 :Add 7q to both sides to get rid of -7q on the left side, resulting in -8 > q - 4.

Step 3 :Add 4 to both sides to get rid of -4 on the right side, resulting in -4 > q.

Step 4 :Finally, the solution to the inequality is \(\boxed{q < -4}\).

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