5. a. \( x<4 \) Here, The replacement set \( w=\{0,1,2,3,4,5 \) ? The given inequality is, \( x \angle 4 \) when \( x=0,0<4 \) is true when \( x=1,1<4 \) is true when \( x=2,2 \angle 4 \) is true when \( x=3,3 \angle 4 \) is true when \( x=4,4<4 \) is false when \( x=5,5<4 \) is folse

It looks like you're working with the inequality \( x < 4 \) and a replacement set \( w = \{0, 1, 2, 3, 4, 5\} \). Let's analyze the inequality with the values in the replacement set. The inequality \( x < 4 \) means we are looking for values of \( x \) that are less than 4. Let's evaluate each element in the replacement set \( w \): 1. When \( x = 0 \): - \( 0 < 4 \) is **true**. 2. When \( x = 1 \): - \( 1 < 4 \) is **true**. 3. When \( x = 2 \): - \( 2 < 4 \) is **true**. 4. When \( x = 3 \): - \( 3 < 4 \) is **true**. 5. When \( x = 4 \): - \( 4 < 4 \) is **false**. 6. When \( x = 5 \): - \( 5 < 4 \) is **false**. Now, let's summarize the results: - The values of \( x \) from the replacement set \( w \) that satisfy the inequality \( x < 4 \) are: - \( 0, 1, 2, 3 \) - The values that do not satisfy the inequality are: - \( 4, 5 \) So, the solution set for the inequality \( x < 4 \) with the given replacement set is \( \{0, 1, 2, 3\} \).