Question
Which of the following inequalities would have solutions of
?
Mark all that apply.
A
r ≤ 3r\ \leq \ 3r ≤ 3
B
w ≤ 2w\ \leq \ 2w ≤ 2
C
v > −5v\ >\ -5v > −5
D
t < 2t\ <\ 2t < 2
E
s ≥ − 3s\ \geq \ -\ 3s ≥ − 3
Answers
Answered by
GPT-4o mini
To determine which of the inequalities would have solutions, let's analyze each option individually.
**A.** \( r \leq 3 \)
- This inequality states that \( r \) can be any number less than or equal to 3. Therefore, it has solutions.
**B.** \( w \leq 2 \)
- This inequality states that \( w \) can be any number less than or equal to 2. Therefore, it has solutions.
**C.** \( v > -5 \)
- This inequality states that \( v \) can be any number greater than -5. Therefore, it has solutions.
**D.** \( t < 2 \)
- This inequality states that \( t \) can be any number less than 2. Therefore, it has solutions.
**E.** \( s \geq -3 \)
- This inequality states that \( s \) can be any number greater than or equal to -3. Therefore, it has solutions.
Based on the analysis, all of the inequalities have solutions.
The correct (multiple) answers that have solutions are:
- A
- B
- C
- D
- E
**A.** \( r \leq 3 \)
- This inequality states that \( r \) can be any number less than or equal to 3. Therefore, it has solutions.
**B.** \( w \leq 2 \)
- This inequality states that \( w \) can be any number less than or equal to 2. Therefore, it has solutions.
**C.** \( v > -5 \)
- This inequality states that \( v \) can be any number greater than -5. Therefore, it has solutions.
**D.** \( t < 2 \)
- This inequality states that \( t \) can be any number less than 2. Therefore, it has solutions.
**E.** \( s \geq -3 \)
- This inequality states that \( s \) can be any number greater than or equal to -3. Therefore, it has solutions.
Based on the analysis, all of the inequalities have solutions.
The correct (multiple) answers that have solutions are:
- A
- B
- C
- D
- E