Solve for k. -14 ≤ k - 9 ≤ -8 Write your answer as a compound inequality with integers. Choices: (A)-5 ≤ k ≤ 1 (B)-23 ≤ k ≤ -17 (C)-5 ≤ k ≤ -17 (D)-23 ≤ k ≤ 1

Analyze Compound Inequality: Analyze the given compound inequality -14 ≤ k - 9 ≤ -8. Which operation should we use to isolate k? In k - 9, 9 is being subtracted from k. Addition should be used to isolate k.Use Addition to Isolate: Solve for k. -14 ≤ k - 9 ≤ -8 Add 9 to all three parts of the inequality to isolate k. -14 + 9 ≤ k - 9 + 9 ≤ -8 + 9 -5 ≤ k ≤ 1

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Solve for $k$ . $\newline$ $-14 \leq k - 9 \leq -8$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $-5 \leq k \leq 1$ $\newline$ (B) $-23 \leq k \leq -17$ $\newline$ (C) $-5 \leq k \leq -17$ $\newline$ (D) $-23 \leq k \leq 1$

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

k

\newline

-14 \leq k - 9 \leq -8

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

-5 \leq k \leq 1

\newline

(B)

-23 \leq k \leq -17

\newline

(C)

-5 \leq k \leq -17

\newline

(D)

-23 \leq k \leq 1

Analyze Compound Inequality: Analyze the given compound inequality $-14 \leq k - 9 \leq -8$ . Which operation should we use to isolate $k$ ? In $k - 9$ , $9$ is being subtracted from $k$ . Addition should be used to isolate $k$ .
Use Addition to Isolate: Solve for $k$ . $-14 \leq k - 9 \leq -8$ Add $9$ to all three parts of the inequality to isolate $k$ . $-14 + 9 \leq k - 9 + 9 \leq -8 + 9$ $-5 \leq k \leq 1$