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Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newliney9x+1y \leq 9x + 1\newlineyx+9y \leq x + 9\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newliney9x+1y \leq 9x + 1\newlineyx+9y \leq x + 9\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (1,10)(1, 10): Does the point (1,10)(1, 10) satisfy the inequality y9x+1y \leq 9x + 1?\newlineSubstitute x=1x = 1 and y=10y = 10 into the inequality y9x+1y \leq 9x + 1.\newline109(1)+110 \leq 9(1) + 1\newline109+110 \leq 9 + 1\newline101010 \leq 10\newlineThe point (1,10)(1, 10) satisfies the inequality y9x+1y \leq 9x + 1.
  2. Verify Inequality y9x+1y \leq 9x + 1: Does the point (1,10)(1, 10) satisfy the inequality yx+9y \leq x + 9?\newlineSubstitute x=1x = 1 and y=10y = 10 into the inequality yx+9y \leq x + 9.\newline101+910 \leq 1 + 9\newline101010 \leq 10\newlineThis is incorrect because 1010 is not less than or equal to 1010; it is equal to 1010, which does not satisfy the strict inequality (1,10)(1, 10)11.

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