Question

solve the linear inequality for k. write your answer in inequality notation.
3 < k - 2

Explanation:

Step1: Add 2 to both sides

To isolate \( k \), we add 2 to both sides of the inequality \( 3 < k - 2 \). Adding the same number to both sides of an inequality does not change the inequality's direction. So we have \( 3 + 2 < k - 2 + 2 \).

Step2: Simplify both sides

Simplifying the left side: \( 3 + 2 = 5 \). Simplifying the right side: \( k - 2 + 2 = k \). So the inequality becomes \( 5 < k \), which can also be written as \( k > 5 \).

Answer:

\( k > 5 \)