Solve for a. a - 17 ≥ -13 or a + 7 -1 (C)a ≥ 4 or a < -1 (D)a ≥ 4 or a ≤ -1

Solve First Part: Solve the first part of the compound inequality. We have a - 17 ≥ -13. To isolate a, we need to add 17 to both sides of the inequality. a - 17 + 17 ≥ -13 + 17 a ≥ 4Solve Second Part: Solve the second part of the compound inequality. We have a + 7 < 6. To isolate a, we need to subtract 7 from both sides of the inequality. a + 7 - 7 < 6 - 7 a < -1Combine Solutions: Combine the solutions from Step 1 and Step 2 to write the final compound inequality. The solution to the compound inequality is a ≥ 4 or a < -1.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

a

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a - 17 \geq -13

a + 7 < 6

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

4 \geq a \geq -1

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(B)

4 \geq a > -1

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(C)

a \geq 4

a < -1

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(D)

a \geq 4

a \leq -1

Solve First Part: Solve the first part of the compound inequality. $\newline$ We have $a - 17 \geq -13$ . To isolate $a$ , we need to add $17$ to both sides of the inequality. $\newline$ $a - 17 + 17 \geq -13 + 17$ $\newline$ $a \geq 4$
Solve Second Part: Solve the second part of the compound inequality. $\newline$ We have a + 7 < 6. To isolate $a$ , we need to subtract $7$ from both sides of the inequality. $\newline$ a + 7 - 7 < 6 - 7 $\newline$ a < -1
Combine Solutions: Combine the solutions from Step $1$ and Step $2$ to write the final compound inequality. $\newline$ The solution to the compound inequality is $a \geq 4$ or a < -1.