Question

which of the numbers 6, 6\frac{1}{2}, 7, 7\frac{1}{2}, and 8 is a solution for n in the inequality 2n < 15? select all the numbers that make the inequality true.
a) 6

b) 6\frac{1}{2}

c) 7

d) 7\frac{1}{2}

e) 8

Explanation:

Step1: Solve the inequality \(2n < 15\)

Divide both sides by 2: \(n < \frac{15}{2}=7.5\)

Step2: Check each option

• A) \(n = 6\): \(6 < 7.5\), true.
• B) \(n = 6\frac{1}{2}=6.5\): \(6.5 < 7.5\), true.
• C) \(n = 7\): \(7 < 7.5\), true.
• D) \(n = 7\frac{1}{2}=7.5\): \(7.5 < 7.5\) is false (it's equal).
• E) \(n = 8\): \(8 < 7.5\) is false.

Answer:

A) 6, B) \(6\frac{1}{2}\), C) 7