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

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Q. Is (1, 4)(1,\ 4) a solution to this system of inequalities?\newliney≥2x+2y \geq 2x + 2\newliney≤x+1y \leq x + 1\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (1,4)(1, 4): Check if the point (1,4)(1, 4) satisfies the inequality y≥2x+2y \geq 2x + 2. Substitute x=1x = 1 and y=4y = 4 into the inequality. 4≥2(1)+24 \geq 2(1) + 2 4≥2+24 \geq 2 + 2 4≥44 \geq 4 Since 44 is equal to 44, the point (1,4)(1, 4) satisfies the first inequality.
  2. First Inequality Check: Check if the point (1,4)(1, 4) satisfies the inequality y≤x+1y \leq x + 1.\newlineSubstitute x=1x = 1 and y=4y = 4 into the inequality.\newline4≤1+14 \leq 1 + 1\newline4≤24 \leq 2\newlineSince 44 is not less than or equal to 22, the point (1,4)(1, 4) does not satisfy the second inequality.

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