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Is (1, 5)(1,\,5) a solution to this system of inequalities?\newliney≤x+6y \leq x + 6\newliney≤3x+1y \leq 3x + 1\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 5)(1,\,5) a solution to this system of inequalities?\newliney≤x+6y \leq x + 6\newliney≤3x+1y \leq 3x + 1\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality 11: Check if (1,5)(1, 5) satisfies y≤x+6y \leq x + 6.\newlineSubstitute x=1x = 1 and y=5y = 5.\newline5≤1+65 \leq 1 + 6\newline5≤75 \leq 7\newlineThis is true.
  2. Check Inequality 22: Check if (1,5)(1, 5) satisfies y≤3x+1y \leq 3x + 1.\newlineSubstitute x=1x = 1 and y=5y = 5.\newline5≤3×1+15 \leq 3 \times 1 + 1\newline5≤45 \leq 4\newlineThis is false, so (1,5)(1, 5) does not satisfy the second inequality.

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