Question

Yannick and Jean are playing a guessing game with integers. Yannick wrote these clues to help Jean guess the unknown integer.n−3≥7 and n+5<16 What is the value of the unknown integer, n?(1 point)Responsesn=11n is equal to 11n=10n is equal to 10n=23n is equal to 23n=9

Answer 1

To find the value of the unknown integer \( n \), we need to solve the inequalities provided:

1. For the first inequality:
\[
n - 3 \geq 7
\]
Adding 3 to both sides gives:
\[
n \geq 10
\]

2. For the second inequality:
\[
n + 5 < 16
\]
Subtracting 5 from both sides gives:
\[
n < 11
\]

Now we combine the results from both inequalities:
- From the first inequality, we have \( n \geq 10 \).
- From the second inequality, we have \( n < 11 \).

Combining these gives:
\[
10 \leq n < 11
\]

The only integer that satisfies this condition is:
\[
n = 10
\]

Thus, the value of the unknown integer \( n \) is \( 10 \).

The correct response is:
**n is equal to 10**.