3 answers
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.
Rearrange the inequality: \[ y \geq 4x - 10 \]
Substitute each point into the inequality to see if it satisfies it.
Please provide the specific points you would like tested against the inequality \(4x - y \leq 10\).
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:
Point (0, 0): \[ 4(0) - 0 \leq 10 \Rightarrow 0 \leq 10 \quad \text{(True)} \]
Point (5, 5): \[ 4(5) - 5 \leq 10 \Rightarrow 20 - 5 \leq 10 \Rightarrow 15 \leq 10 \quad \text{(False)} \]
Point (3, 2): \[ 4(3) - 2 \leq 10 \Rightarrow 12 - 2 \leq 10 \Rightarrow 10 \leq 10 \quad \text{(True)} \]
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.
