Solve for k. k - 13 > 2 or k + 20 k > -1 (B)15 ≥ k > -1 (C)k > 15 or k < -1 (D)k ≥ 15 or k < -1

Solve First Part: Solve the first part of the compound inequality. We have k - 13 > 2. To isolate k, we need to add 13 to both sides of the inequality. k - 13 + 13 > 2 + 13 k > 15Solve Second Part: Solve the second part of the compound inequality. We have k + 20 15 or k < -1.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

k

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k - 13 > 2

k + 20 < 19

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

15 > k > -1

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(B)

15 \geq k > -1

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(C)

k > 15

k < -1

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(D)

k \geq 15

k < -1

Solve First Part: Solve the first part of the compound inequality. $\newline$ We have k - 13 > 2. To isolate $k$ , we need to add $13$ to both sides of the inequality. $\newline$ k - 13 + 13 > 2 + 13 $\newline$ k > 15
Solve Second Part: Solve the second part of the compound inequality. $\newline$ We have k + 20 < 19. To isolate $k$ , we need to subtract $20$ from both sides of the inequality. $\newline$ k + 20 - 20 < 19 - 20 $\newline$ k < -1
Combine Solutions: Combine the solutions from Step $1$ and Step $2$ to form the compound inequality. $\newline$ The solutions are k > 15 or k < -1.