Question

Which of the following are solutions to the inequality below? Select all that apply
9 ≥ 4k
k = 5
k=2
k = 10
k=12

Answer 1

To solve the inequality \( 9 \geq 4k \), we first isolate \( k \) by dividing both sides by 4:

\[
\frac{9}{4} \geq k
\]

This is equivalent to:

\[
k \leq \frac{9}{4}
\]

Calculating \( \frac{9}{4} \):

\[
\frac{9}{4} = 2.25
\]

Now we can determine which of the given values of \( k \) satisfy this inequality:

1. \( k = 5 \): \( 5 \) is not less than or equal to \( 2.25 \) (not a solution).
2. \( k = 2 \): \( 2 \) is less than or equal to \( 2.25 \) (solution).
3. \( k = 10 \): \( 10 \) is not less than or equal to \( 2.25 \) (not a solution).
4. \( k = 12 \): \( 12 \) is not less than or equal to \( 2.25 \) (not a solution).

Therefore, the only solution to the inequality \( 9 \geq 4k \) from the provided options is:

- \( k = 2 \)