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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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