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Solve for $s$ . $\newline$ $s + 16 < 9$ or $s - 6 > 0$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $s \leq -7$ or $s > 6$ $\newline$ (B) $s \leq -7$ or $s \geq 6$ $\newline$ (C) $s < -7$ or $s \geq 6$ $\newline$ (D) $s < -7$ or $s > 6$

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Solve compound inequalities

Full solution

Q. Solve for

s

.

\newline

s + 16 < 9

or

s - 6 > 0

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

s \leq -7

or

s > 6

\newline

(B)

s \leq -7

or

s \geq 6

\newline

(C)

s < -7

or

s \geq 6

\newline

(D)

s < -7

or

s > 6

Isolate $s$ by subtracting $16$ : To solve the inequality $s + 16 < 9$ , we need to isolate $s$ by subtracting $16$ from both sides of the inequality. $\newline$ $s + 16 < 9$ $\newline$ $s + 16 - 16 < 9 - 16$ $\newline$ $s < -7$
Isolate $s$ by adding $6$ : To solve the inequality $s - 6 > 0$ , we need to isolate $s$ by adding $6$ to both sides of the inequality. $\newline$ $s - 6 > 0$ $\newline$ $s - 6 + 6 > 0 + 6$ $\newline$ $s > 6$
Combine compound inequality: Now we combine both parts of the compound inequality to get the final solution. $s < -7$ or $s > 6$

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