Question
\( y<-3 x+2 \) Type an \( (x, y) \) ordered pair that is a solution to this inequality.
Ask by Mejia Bright. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
One solution is \((0, 1)\).
Solution
One possible ordered pair that satisfies the inequality \( y < -3x + 2 \) is **\((0, 1)\)**.
**Verification:**
- Substitute \( x = 0 \) into the inequality:
\[
y < -3(0) + 2 \Rightarrow y < 2
\]
- Here, \( y = 1 \) is indeed less than 2.
Therefore, the point \((0, 1)\) is a valid solution to the inequality.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
One solution to the inequality \( y < -3x + 2 \) is \( (0, 1) \). If you substitute \( x = 0 \) into the equation, it becomes \( y < 2 \), and since \( 1 < 2 \), this ordered pair is indeed a solution. Another solution is \( (1, -1) \). Plugging \( x = 1 \) into the inequality gives \( y < -3(1) + 2 \), which simplifies to \( y < -1 \). Since \( -1 \) is not less than \(-1\), we can take \( (1, -2) \) instead, where \( -2 < -1 \) works perfectly.
