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Solve for $g$ . $\newline$ $g - 10 \leq -14$ or $g - 12 \geq 1$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $g \leq -24$ or $g \geq 13$ $\newline$ (B) $g \leq -24$ or $g \geq -11$ $\newline$ (C) $g \leq -4$ or $g \geq -11$ $\newline$ (D) $g \leq -4$ or $g \geq 13$

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Solve compound inequalities

Full solution

Q. Solve for

g

.

\newline

g - 10 \leq -14

or

g - 12 \geq 1

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

g \leq -24

or

g \geq 13

\newline

(B)

g \leq -24

or

g \geq -11

\newline

(C)

g \leq -4

or

g \geq -11

\newline

(D)

g \leq -4

or

g \geq 13

Addition to isolate $g$ : To isolate $g$ in the inequality $g - 10 \leq -14$ , we need to add $10$ to both sides of the inequality. $\newline$ $g - 10 + 10 \leq -14 + 10$ $\newline$ $g \leq -4$
Addition to isolate $g$ : To isolate $g$ in the inequality $g - 12 \geq 1$ , we need to add $12$ to both sides of the inequality. $\newline$ $g - 12 + 12 \geq 1 + 12$ $\newline$ $g \geq 13$
Compound inequality solution: Now we have two separate inequalities that form the compound inequality: $\newline$ $g \leq -4$ or $g \geq 13$ $\newline$ This is the solution to the given problem.

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