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Is (8,1)(8,\,1) a solution to this system of inequalities?\newline2x+3y202x + 3y \geq 20\newlinex+y9x + y \leq 9\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (8,1)(8,\,1) a solution to this system of inequalities?\newline2x+3y202x + 3y \geq 20\newlinex+y9x + y \leq 9\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point: Check if the point (8,1)(8, 1) satisfies the inequality 2x+3y202x + 3y \geq 20. Substitute x=8x = 8 and y=1y = 1 into the inequality. 2(8)+3(1)202(8) + 3(1) \geq 20 16+32016 + 3 \geq 20 192019 \geq 20 The point (8,1)(8, 1) does not satisfy the inequality 2x+3y202x + 3y \geq 20.

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