Solve for n. n - 8 ≥ 10 or n + 3 18 or n 18 or n ≤ 4 (D)n ≥ 18 or n < 4

Solve First Part: Solve the first part of the compound inequality. We have n - 8 ≥ 10. To isolate n, we need to add 8 to both sides of the inequality. n - 8 + 8 ≥ 10 + 8 n ≥ 18Solve Second Part: Solve the second part of the compound inequality. We have n + 3 < 7. To isolate n, we need to subtract 3 from both sides of the inequality. n + 3 - 3 < 7 - 3 n < 4Combine Solutions: Combine the solutions from Step 1 and Step 2 to form the compound inequality. The solution is n ≥ 18 or n < 4.

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

n

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n - 8 \geq 10

n + 3 < 7

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Write your answer as a compound inequality with integers.

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Choices:

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(A)

n \geq 18

n \leq 4

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(B)

n > 18

n < 4

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(C)

n > 18

n \leq 4

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(D)

n \geq 18

n < 4

Solve First Part: Solve the first part of the compound inequality. $\newline$ We have $n - 8 \geq 10$ . To isolate $n$ , we need to add $8$ to both sides of the inequality. $\newline$ $n - 8 + 8 \geq 10 + 8$ $\newline$ $n \geq 18$
Solve Second Part: Solve the second part of the compound inequality. $\newline$ We have n + 3 < 7. To isolate $n$ , we need to subtract $3$ from both sides of the inequality. $\newline$ n + 3 - 3 < 7 - 3 $\newline$ n < 4
Combine Solutions: Combine the solutions from Step $1$ and Step $2$ to form the compound inequality. $\newline$ The solution is $n \geq 18$ or n < 4.