Solve for y. y + 10 ≥ 14 or y - 17 ≤ -16 Write your answer as a compound inequality with integers. Choices: (A)y ≥ 4 or y ≤ -33 (B)y ≥ 24 or y ≤ -33 (C)y ≥ 24 or y ≤ 1 (D)y ≥ 4 or y ≤ 1

Isolate y by subtracting 10: To solve the inequality y + 10 ≥ 14, we need to isolate y by subtracting 10 from both sides of the inequality. y + 10 - 10 ≥ 14 - 10 y ≥ 4Isolate y by adding 17: To solve the inequality y - 17 ≤ -16, we need to isolate y by adding 17 to both sides of the inequality. y - 17 + 17 ≤ -16 + 17 y ≤ 1Combine compound inequality: Now we combine both parts of the compound inequality to get the final answer. y ≥ 4 or y ≤ 1

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

y

\newline

y + 10 \geq 14

y - 17 \leq -16

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

y \geq 4

y \leq -33

\newline

(B)

y \geq 24

y \leq -33

\newline

(C)

y \geq 24

y \leq 1

\newline

(D)

y \geq 4

y \leq 1

Isolate $y$ by subtracting $10$ : To solve the inequality $y + 10 \geq 14$ , we need to isolate $y$ by subtracting $10$ from both sides of the inequality. $\newline$ $y + 10 - 10 \geq 14 - 10$ $\newline$ $y \geq 4$
Isolate $y$ by adding $17$ : To solve the inequality $y - 17 \leq -16$ , we need to isolate $y$ by adding $17$ to both sides of the inequality. $\newline$ $y - 17 + 17 \leq -16 + 17$ $\newline$ $y \leq 1$
Combine compound inequality: Now we combine both parts of the compound inequality to get the final answer. $y \geq 4$ or $y \leq 1$