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Is (1, 4)(1,\ 4) a solution to this system of inequalities?\newliney5x+2y \geq 5x + 2\newliney < x + 6\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 4)(1,\ 4) a solution to this system of inequalities?\newliney5x+2y \geq 5x + 2\newliney<x+6y < x + 6\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality: Check if (1,4)(1, 4) satisfies the first inequality y5x+2y \geq 5x + 2.\newlineSubstitute x=1x = 1 and y=4y = 4 into the inequality.\newline45(1)+24 \geq 5(1) + 2\newline474 \geq 7\newlineThis is false, so (1,4)(1, 4) does not satisfy the first inequality.

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