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Is (5,1)(5,\,1) a solution to this system of inequalities?\newlinex+6y10x + 6y \leq 10\newline2x+9y192x + 9y \geq 19\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (5,1)(5,\,1) a solution to this system of inequalities?\newlinex+6y10x + 6y \leq 10\newline2x+9y192x + 9y \geq 19\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point: Does the point (5,1)(5, 1) satisfy the inequality x+6y10x + 6y \leq 10?\newlineSubstitute x=5x = 5 and y=1y = 1 into the inequality x+6y10x + 6y \leq 10.\newline5+6×1105 + 6 \times 1 \leq 10\newline5+6105 + 6 \leq 10\newline111011 \leq 10\newlineThe point (5,1)(5, 1) does not satisfy the inequality x+6y10x + 6y \leq 10.

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