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Is (1, 1)(1,\ 1) a solution to this system of inequalities?\newlinex+8y1x + 8y \leq 1\newline7x+12y207x + 12y \leq 20\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (1, 1)(1,\ 1) a solution to this system of inequalities?\newlinex+8y1x + 8y \leq 1\newline7x+12y207x + 12y \leq 20\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality: Check if (1,1)(1, 1) satisfies the first inequality x+8y1x + 8y \leq 1.\newlineSubstitute x=1x = 1 and y=1y = 1.\newline1+8(1)11 + 8(1) \leq 1\newline1+811 + 8 \leq 1\newline919 \leq 1\newlineThis is not true, so (1,1)(1, 1) does not satisfy the first inequality.

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