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Is (1,2)(1,\,2) a solution to this system of inequalities?\newlinex+5y10x + 5y \leq 10\newline2x+9y202x + 9y \geq 20\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (1,2)(1,\,2) a solution to this system of inequalities?\newlinex+5y10x + 5y \leq 10\newline2x+9y202x + 9y \geq 20\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point: Does the point (1,2)(1, 2) satisfy the inequality x+5y10x + 5y \leq 10?\newlineSubstitute x=1x = 1 and y=2y = 2 into the inequality x+5y10x + 5y \leq 10.\newline1+5(2)101 + 5(2) \leq 10\newline1+10101 + 10 \leq 10\newline111011 \leq 10\newlineThe point (1,2)(1, 2) does not satisfy the inequality x+5y10x + 5y \leq 10.

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