Solve for s. s + 16 0 Write your answer as a compound inequality with integers. Choices: (A)s ≤ -7 or s > 6 (B)s ≤ -7 or s ≥ 6 (C)s 6

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

Home

Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

s

\newline

s + 16 < 9

s - 6 > 0

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

s \leq -7

s > 6

\newline

(B)

s \leq -7

s \geq 6

\newline

(C)

s < -7

s \geq 6

\newline

(D)

s < -7

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