Solve for n. n - 13 > -3 or n - 16 ≤ -15 Write your answer as a compound inequality with integers. Choices: (A)10 > n ≥ 1 (B)10 > n > 1 (C)n > 10 or n 10 or n ≤ 1

Isolate n in first inequality: First, let's solve the inequality n - 13 > -3. To isolate n, we need to add 13 to both sides of the inequality. n - 13 + 13 > -3 + 13 n > 10Isolate n in second inequality: Now, let's solve the second inequality n - 16 ≤ -15. To isolate n, we need to add 16 to both sides of the inequality. n - 16 + 16 ≤ -15 + 16 n ≤ 1Combine two inequalities: We have two inequalities from the previous steps: n > 10 and n ≤ 1. These inequalities represent two separate conditions, so we combine them using ＂or＂ as given in the original problem. n > 10 or n ≤ 1

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

n

\newline

n - 13 > -3

n - 16 \leq -15

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

10 > n \geq 1

\newline

(B)

10 > n > 1

\newline

(C)

n > 10

n < 1

\newline

(D)

n > 10

n \leq 1

Isolate $n$ in first inequality: First, let's solve the inequality n - 13 > -3. $\newline$ To isolate $n$ , we need to add $13$ to both sides of the inequality. $\newline$ n - 13 + 13 > -3 + 13 $\newline$ n > 10
Isolate $n$ in second inequality: Now, let's solve the second inequality $n - 16 \leq -15$ . To isolate $n$ , we need to add $16$ to both sides of the inequality. $n - 16 + 16 \leq -15 + 16$ $n \leq 1$
Combine two inequalities: We have two inequalities from the previous steps: n > 10 and $n \leq 1$ . These inequalities represent two separate conditions, so we combine them using ＂or＂ as given in the original problem. n > 10 or $n \leq 1$