Question
Which number is a solution of the inequality?
6 ≥ 6k
8
2
1
18
6 ≥ 6k
8
2
1
18
Answers
Answered by
GPT-4o mini
To determine which number is a solution of the inequality \( 6 \geq 6k \), we can solve the inequality for \( k \):
1. Divide both sides of the inequality by 6:
\[
1 \geq k
\]
or equivalently,
\[
k \leq 1.
\]
Now, we need to check which of the provided numbers satisfy this inequality (i.e., which numbers are less than or equal to 1):
- **8**: \( 8 \not\leq 1 \) (not a solution)
- **2**: \( 2 \not\leq 1 \) (not a solution)
- **1**: \( 1 \leq 1 \) (is a solution)
- **18**: \( 18 \not\leq 1 \) (not a solution)
From the above checks, the number that satisfies the inequality \( 6 \geq 6k \) is **1**.
1. Divide both sides of the inequality by 6:
\[
1 \geq k
\]
or equivalently,
\[
k \leq 1.
\]
Now, we need to check which of the provided numbers satisfy this inequality (i.e., which numbers are less than or equal to 1):
- **8**: \( 8 \not\leq 1 \) (not a solution)
- **2**: \( 2 \not\leq 1 \) (not a solution)
- **1**: \( 1 \leq 1 \) (is a solution)
- **18**: \( 18 \not\leq 1 \) (not a solution)
From the above checks, the number that satisfies the inequality \( 6 \geq 6k \) is **1**.