Question

solve for n.
100 > 68 - n

Explanation:

Step1: Subtract 68 from both sides

To isolate the term with \( n \), we subtract 68 from both sides of the inequality \( 100 > 68 - n \). This gives us \( 100 - 68 > 68 - n - 68 \), which simplifies to \( 32 > -n \).

Step2: Multiply both sides by -1 (and reverse the 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 \( 32 > -n \) by -1 gives \( -32 < n \), or equivalently \( n > -32 \).

Answer:

\( n > -32 \)