Question

solve for q.
\\(\frac{q}{-1} - 6 < -8\\)

Explanation:

Step1: Simplify the fraction

$\frac{q}{-1}$ is equal to $-q$, so the inequality becomes $-q - 6 < -8$.

Step2: Add 6 to both sides

Add 6 to each side of the inequality: $-q - 6 + 6 < -8 + 6$, which simplifies to $-q < -2$.

Step3: Multiply by -1 (reverse inequality)

Multiply both sides by -1. Remember, when multiplying or dividing an inequality by a negative number, the inequality sign flips. So we get $q > 2$.

Answer:

$q > 2$