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Solve the inequality and graph the solution. $\newline$ $\newline$ $3 \geq -6(h + 2) - 9$ $\newline$ Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it. $\newline$ $\newline$

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Write a quadratic function from its vertex and another point

Full solution

Q. Solve the inequality and graph the solution.

\newline

\newline

3 \geq -6(h + 2) - 9

\newline

Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

\newline

\newline

Simplify the inequality: Simplify the inequality by distributing $-6$ through the parentheses. $\newline$ $3 \geq -6(h + 2) - 9$ $\newline$ $3 \geq -6h - 12 - 9$ $\newline$ $3 \geq -6h - 21$
Addition to isolate term: Add $21$ to both sides to isolate the term with $h$ . $\newline$ $3 + 21 \geq -6h$ $\newline$ $24 \geq -6h$
Divide and flip inequality: Divide both sides by $-6$ , remember to flip the inequality sign because we are dividing by a negative number. $\newline$ $\frac{24}{-6} \leq h$ $\newline$ $-4 \leq h$
Rewrite conventional form: Rewrite the inequality in a more conventional form. $h \geq -4$

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