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Solve for $k$ . $\newline$ $k + 17 < 4$ or $k - 8 > 8$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $k \leq -13$ or $k > 16$ $\newline$ (B) $k < -13$ or $k \geq 16$ $\newline$ (C) $k \leq -13$ or $k \geq 16$ $\newline$ (D) $k < -13$ or $k > 16$

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Solve compound inequalities

Full solution

Q. Solve for

k

.

\newline

k + 17 < 4

or

k - 8 > 8

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

k \leq -13

or

k > 16

\newline

(B)

k < -13

or

k \geq 16

\newline

(C)

k \leq -13

or

k \geq 16

\newline

(D)

k < -13

or

k > 16

Solve First Part: Solve the first part of the compound inequality. $\newline$ We have $k + 17 < 4$ . To isolate $k$ , we need to subtract $17$ from both sides of the inequality. $\newline$ $k + 17 - 17 < 4 - 17$ $\newline$ $k < -13$
Solve Second Part: Solve the second part of the compound inequality. $\newline$ We have $k - 8 > 8$ . To isolate $k$ , we need to add $8$ to both sides of the inequality. $\newline$ $k - 8 + 8 > 8 + 8$ $\newline$ $k > 16$
Combine Solutions: Combine the solutions from Step $1$ and Step $2$ to write the final compound inequality. $\newline$ The solution is $k < -13$ or $k > 16$ .

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