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Is (2, 10)(2,\ 10) a solution to this system of inequalities?\newliney≥x+8y \geq x + 8\newliney>4x+1y > 4x + 1\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (2, 10)(2,\ 10) a solution to this system of inequalities?\newliney≥x+8y \geq x + 8\newliney>4x+1y > 4x + 1\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (2,10) (2, 10) : Check if the point (2,10) (2, 10) satisfies the inequality y≥x+8 y \geq x + 8 .\newlineSubstitute x=2 x = 2 and y=10 y = 10 into the inequality.\newline10≥2+8 10 \geq 2 + 8 \newline10≥10 10 \geq 10 \newlineThe point (2,10) (2, 10) satisfies the first inequality.
  2. Satisfies Inequality y≥x+8y \geq x + 8: Check if the point (2,10)(2, 10) satisfies the inequality y>4x+1y > 4x + 1. Substitute x=2x = 2 and y=10y = 10 into the inequality. 10>4×2+110 > 4 \times 2 + 1 10>8+110 > 8 + 1 10>910 > 9 The point (2,10)(2, 10) satisfies the second inequality.

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