Question

solve for q.
1 < 9 - q

Explanation:

Step1: Subtract 9 from both sides

To isolate the term with \( q \), we subtract 9 from both sides of the inequality \( 1 < 9 - q \). This gives us \( 1 - 9 < -q \), which simplifies to \( -8 < -q \).

Step2: Multiply both sides by -1 (and reverse inequality)

When we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign. Multiplying both sides of \( -8 < -q \) by -1 gives \( 8 > q \), or equivalently \( q < 8 \).

Answer:

\( q < 8 \)