Question
Which of the following are solutions to the inequality below? Select all that apply.
3 ≥
y
y=6
y=11
y=2
y=1
3 ≥
y
y=6
y=11
y=2
y=1
Answers
Answered by
GPT-4o mini
To solve the inequality \( 3 \geq y \), we can interpret it as "y must be less than or equal to 3."
Now, let's evaluate the given options:
- \( y = 6 \) : This does not satisfy the inequality because 6 is greater than 3.
- \( y = 11 \) : This does not satisfy the inequality because 11 is greater than 3.
- \( y = 2 \) : This satisfies the inequality because 2 is less than 3.
- \( y = 1 \) : This satisfies the inequality because 1 is less than 3.
Therefore, the solutions to the inequality are:
- \( y = 2 \)
- \( y = 1 \)
In conclusion, the correct answers are \( y = 2 \) and \( y = 1 \).
Now, let's evaluate the given options:
- \( y = 6 \) : This does not satisfy the inequality because 6 is greater than 3.
- \( y = 11 \) : This does not satisfy the inequality because 11 is greater than 3.
- \( y = 2 \) : This satisfies the inequality because 2 is less than 3.
- \( y = 1 \) : This satisfies the inequality because 1 is less than 3.
Therefore, the solutions to the inequality are:
- \( y = 2 \)
- \( y = 1 \)
In conclusion, the correct answers are \( y = 2 \) and \( y = 1 \).