Question

solve $6 > h \div (-3)$. graph the solution.
the solution is \square.
(there are some arrow icons and a number line with -16, -12, -8, -4, 0, 4, 8, 12, 16 marked)

Explanation:

Step1: Rewrite the inequality

The inequality is \( 6 > \frac{h}{-3} \), which can also be written as \( 6 > -\frac{h}{3} \).

Step2: Multiply both sides by -3

When multiplying or dividing an inequality by a negative number, the direction of the inequality sign flips. So, multiply both sides by -3:
\( 6 \times (-3) < h \)
Calculate \( 6 \times (-3) = -18 \), so we get \( -18 < h \) or \( h > -18 \).

Answer:

\( h > -18 \)

For graphing: On the number line, we draw an open circle at -18 (since the inequality is strict, \( h > -18 \), not \( h \geq -18 \)) and shade the region to the right of -18.