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Is (5, 10)(5,\,10) a solution to this system of inequalities?\newliney<2x+10y < 2x + 10\newliney<x+2y < x + 2\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (5, 10)(5,\,10) a solution to this system of inequalities?\newliney<2x+10y < 2x + 10\newliney<x+2y < x + 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (5,10)(5, 10): Check if the point (5,10)(5, 10) satisfies the inequality y<2x+10y < 2x + 10. Substitute x=5x = 5 and y=10y = 10 into the inequality. 10<2×5+1010 < 2 \times 5 + 10 10<10+1010 < 10 + 10 10<2010 < 20
  2. Substitute Values: Check if the point (5,10)(5, 10) satisfies the inequality y<x+2y < x + 2. Substitute x=5x = 5 and y=10y = 10 into the inequality. 10<5+210 < 5 + 2 10<710 < 7 This is not true, so (5,10)(5, 10) does not satisfy the second inequality.

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