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Is (7, 1)(7,\,1) a solution to this system of inequalities?\newline2x+3y≥182x + 3y \geq 18\newlinex+y≥8x + y \geq 8\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (7, 1)(7,\,1) a solution to this system of inequalities?\newline2x+3y≥182x + 3y \geq 18\newlinex+y≥8x + y \geq 8\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality: Check if (7,1)(7, 1) satisfies the first inequality 2x+3y≥182x + 3y \geq 18.\newlineSubstitute x=7x = 7 and y=1y = 1.\newline2(7)+3(1)≥182(7) + 3(1) \geq 18\newline14+3≥1814 + 3 \geq 18\newline17≥1817 \geq 18\newlineThis is false, so (7,1)(7, 1) does not satisfy the first inequality.

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