Question

Which of the following are two possible solutions to the inequality n>8?

A)
n=11 and
n=13

B)
n=8 and
n=10

C)

n=1 and
n=3

D)
n=6 and
n=11

Answer 1

The solutions to the inequality n>8 are found by identifying values that are greater than 8. Option A, with n=11 and n=13, is the correct answer as both numbers satisfy the inequality.

Step-by-step explanation:

The student's question pertains to the inequality n>8. To find the solution to this inequality, we must look for values of n that are greater than 8. Looking at the given options:

• Option A: n=11 and n=13 are both greater than 8, which means these values satisfy the inequality.
• Option B: n=8 does not satisfy the inequality because it is equal to 8, not greater. However, n=10 is greater than 8 and satisfies the inequality.
• Option C: Both n=1 and n=3 are less than 8 and do not satisfy the inequality.
• Option D: n=6 is less than 8 and does not satisfy the inequality, whereas n=11 is greater than 8 and does satisfy it.

Therefore, the correct answer is Option A, because both proposed values of n are indeed greater than 8, making them solutions to the inequality n>8.