Question

which of the following is a solution to the inequality below?
k < -5
k = -11
k = -5
k = -4
k = -2
submit

Explanation:

Step1: Understand the inequality

The inequality is \( k < -5 \), which means we need to find a value of \( k \) that is less than -5.

Step2: Evaluate each option

• For \( k = -11 \): We know that -11 is less than -5 (because on the number line, -11 is to the left of -5). So, \( -11 < -5 \) is true.
• For \( k = -5 \): The inequality is \( k < -5 \), and -5 is not less than -5 (it is equal). So, \( -5 < -5 \) is false.
• For \( k = -4 \): -4 is greater than -5 (since -4 is to the right of -5 on the number line). So, \( -4 < -5 \) is false.
• For \( k = -2 \): -2 is greater than -5 (as -2 is to the right of -5 on the number line). So, \( -2 < -5 \) is false.

Answer:

\( k = -11 \)