Solve for c. c + 2 ≤ 0 or c + 15 ≥ 20 Write your answer as a compound inequality with integers. Choices: (A)c ≤ 2 or c ≥ 35 (B)c ≤ 2 or c ≥ 5 (C)c ≤ -2 or c ≥ 35 (D)c ≤ -2 or c ≥ 5

Subtract 2 to isolate c: To solve the inequality c + 2 ≤ 0, we need to isolate c. We do this by subtracting 2 from both sides of the inequality. c + 2 - 2 ≤ 0 - 2 c ≤ -2Subtract 15 to isolate c: To solve the inequality c + 15 ≥ 20, we need to isolate c. We do this by subtracting 15 from both sides of the inequality. c + 15 - 15 ≥ 20 - 15 c ≥ 5Combine compound inequality: Now we combine the two parts of the compound inequality using ＂or＂ as given in the original problem. c ≤ -2 or c ≥ 5

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

c

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c + 2 \leq 0

c + 15 \geq 20

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

c \leq -2

c \geq 35

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(B)

c \leq -2

c \geq 5

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(C)

c \leq 2

c \geq 35

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(D)

c \leq 2

c \geq 5

Subtract $2$ to isolate c: To solve the inequality $c + 2 \leq 0$ , we need to isolate $c$ . We do this by subtracting $2$ from both sides of the inequality. $c + 2 - 2 \leq 0 - 2$ $c \leq -2$
Subtract $15$ to isolate c: To solve the inequality $c + 15 \geq 20$ , we need to isolate c. We do this by subtracting $15$ from both sides of the inequality. $c + 15 - 15 \geq 20 - 15$ $c \geq 5$
Combine compound inequality: Now we combine the two parts of the compound inequality using ＂or＂ as given in the original problem. $c \leq -2$ or $c \geq 5$