Question

solve for m.
-8 < 1 - m

Explanation:

Step1: Subtract 1 from both sides

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

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 \(-9 < -m\) by -1 gives \(9 > m\) (or equivalently \(m < 9\)).

Answer:

\(m < 9\)