Question
Which of the following ordered pairs are part of the solution set for the linear inequality y≥−3x+4 ?(1 point)
Answers
GPT-4o mini
To determine which ordered pairs are part of the solution set for the linear inequality \( y \geq -3x + 4 \), we need to check whether each ordered pair meets the condition of the inequality.
1. Rewrite the inequality to make it easy to analyze:
\[
y \geq -3x + 4
\]
2. For each ordered pair (let's say \((x, y)\)), substitute the value of \(x\) into the right side of the inequality \(-3x + 4\) and see if the inequality holds true.
For example, if you have a pair like \((1, 5)\):
- Substitute \(x = 1\):
\[
y \geq -3(1) + 4 \\
y \geq -3 + 4 \\
y \geq 1
\]
- Here, \(5 \geq 1\) is true, so \((1, 5)\) is part of the solution.
You can use the same process for other equivalent pairs. Please provide the ordered pairs you'd like me to evaluate.
1. Rewrite the inequality to make it easy to analyze:
\[
y \geq -3x + 4
\]
2. For each ordered pair (let's say \((x, y)\)), substitute the value of \(x\) into the right side of the inequality \(-3x + 4\) and see if the inequality holds true.
For example, if you have a pair like \((1, 5)\):
- Substitute \(x = 1\):
\[
y \geq -3(1) + 4 \\
y \geq -3 + 4 \\
y \geq 1
\]
- Here, \(5 \geq 1\) is true, so \((1, 5)\) is part of the solution.
You can use the same process for other equivalent pairs. Please provide the ordered pairs you'd like me to evaluate.