To determine which of the given points is a solution to the linear inequality \(4x - y \leq 10\), we will substitute each point into the inequality and check if it holds true.
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Point A: (3, 0) \[ 4(3) - 0 \leq 10 \ 12 \leq 10 \quad \text{(False)} \]
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Point B: (5, 0) \[ 4(5) - 0 \leq 10 \ 20 \leq 10 \quad \text{(False)} \]
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Point C: (3.5, 1) \[ 4(3.5) - 1 \leq 10 \ 14 - 1 \leq 10 \ 13 \leq 10 \quad \text{(False)} \]
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Point D: (2, -2) \[ 4(2) - (-2) \leq 10 \ 8 + 2 \leq 10 \ 10 \leq 10 \quad \text{(True)} \]
The only point that satisfies the inequality \(4x - y \leq 10\) is Point D: (2, -2).