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Is (2,1)(2,\,1) a solution to this system of inequalities?\newline15x+y1015x + y \leq 10\newline2x+5y92x + 5y \leq 9\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (2,1)(2,\,1) a solution to this system of inequalities?\newline15x+y1015x + y \leq 10\newline2x+5y92x + 5y \leq 9\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality: Check if (2,1)(2, 1) satisfies the first inequality: 15x+y1015x + y \leq 10.\newlineSubstitute x=2x = 2 and y=1y = 1.\newline15(2)+11015(2) + 1 \leq 10\newline30+11030 + 1 \leq 10\newline311031 \leq 10\newlineThis is false.

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