Question

solve for h.
36 > -42 - h

Explanation:

Step1: Add 42 to both sides

To isolate the term with \( h \), we add 42 to both sides of the inequality \( 36 > -42 - h \). This gives us \( 36 + 42 > -h \). Calculating the left side, \( 36 + 42 = 78 \), so the inequality becomes \( 78 > -h \).

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 \( 78 > -h \) by -1 gives \( -78 < h \), which is the same as \( h > -78 \).

Answer:

\( h > -78 \)