Question

from the set {1,2,3,4,5}, which values make the inequality n + 1 > 4 true? {4,5} {1,2} {1,2,3} {3,4,5}

Explanation:

Step1: Solve the inequality

First, solve the inequality \( n + 1>4 \). Subtract 1 from both sides: \( n>4 - 1 \), so \( n>3 \).

Step2: Check values in the set

The set is \( \{1,2,3,4,5\} \). We need values of \( n \) where \( n > 3 \). So check each element:

• For \( n = 1 \): \( 1>3 \) is false.
• For \( n = 2 \): \( 2>3 \) is false.
• For \( n = 3 \): \( 3>3 \) is false.
• For \( n = 4 \): \( 4>3 \) is true.
• For \( n = 5 \): \( 5>3 \) is true.

So the values are 4 and 5, which is the set \( \{4,5\} \).

Answer:

\(\{4,5\}\)