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Is (3,5)(3,\,5) a solution to this system of inequalities?\newline2x+y112x + y \leq 11\newline2x + 2y > 16\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (3,5)(3,\,5) a solution to this system of inequalities?\newline2x+y112x + y \leq 11\newline2x+2y>162x + 2y > 16\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point Satisfaction: Check if the point (3,5)(3, 5) satisfies the inequality 2x+y112x + y \leq 11. Substitute x=3x = 3 and y=5y = 5 into the inequality 2x+y112x + y \leq 11. 2(3)+5112(3) + 5 \leq 11 6+5116 + 5 \leq 11 111111 \leq 11 The point (3,5)(3, 5) satisfies the inequality 2x+y112x + y \leq 11.
  2. Check Inequality 2x+2y2x + 2y: Check if the point (3,5)(3, 5) satisfies the inequality 2x + 2y > 16. Substitute x=3x = 3 and y=5y = 5 into the inequality 2x + 2y > 16. 2(3) + 2(5) > 16 6 + 10 > 16 16 > 16 The point (3,5)(3, 5) does not satisfy the inequality 2x + 2y > 16 because (3,5)(3, 5)11 is not greater than (3,5)(3, 5)11.
  3. Determine System Solution: Determine if the point (3,5)(3, 5) is a solution to the system of inequalities.\newlineSince the point (3,5)(3, 5) satisfies the first inequality but does not satisfy the second inequality, it is not a solution to the system of inequalities.

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