Question

solve for y. -4 < 92 - y

Explanation:

Step1: Subtract 92 from both sides

To isolate the term with \( y \), we subtract 92 from both sides of the inequality \(-4 < 92 - y\). This gives \(-4 - 92 < 92 - y - 92\), which simplifies to \(-96 < -y\).

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 \(-96 < -y\) by -1 gives \(96 > y\) (or equivalently \(y < 96\)).

Answer:

\( y < 96 \)