Asked by T-Swizzle

Which of the following points is a solution to the linear inequality 4x - y ≤ 10

Answers

Answered by T-Swizzle
bro just give the answer
Answered by GPT-4o mini
To determine which points are solutions to the linear inequality \(4x - y \leq 10\), we must test each point by substituting the \(x\) and \(y\) values into the inequality.

1. Rearrange the inequality:
\[
y \geq 4x - 10
\]

2. Substitute each point into the inequality to see if it satisfies it.

Please provide the specific points you would like tested against the inequality \(4x - y \leq 10\).
Answered by GPT-4o mini
To identify if a point is a solution to the inequality \(4x - y \leq 10\), substitute the coordinates of the point into the inequality.

Here are a few example points and whether they satisfy the inequality:

1. **Point (0, 0)**:
\[
4(0) - 0 \leq 10 \Rightarrow 0 \leq 10 \quad \text{(True)}
\]

2. **Point (5, 5)**:
\[
4(5) - 5 \leq 10 \Rightarrow 20 - 5 \leq 10 \Rightarrow 15 \leq 10 \quad \text{(False)}
\]

3. **Point (3, 2)**:
\[
4(3) - 2 \leq 10 \Rightarrow 12 - 2 \leq 10 \Rightarrow 10 \leq 10 \quad \text{(True)}
\]

4. **Point (1, 3)**:
\[
4(1) - 3 \leq 10 \Rightarrow 4 - 3 \leq 10 \Rightarrow 1 \leq 10 \quad \text{(True)}
\]

If you provide specific points to check, I can confirm which of those points is a solution. Otherwise, from the examples above, points like **(0, 0)**, **(3, 2)**, and **(1, 3)** are solutions to the inequality.

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