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Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newliney≤8x+2y \leq 8x + 2\newliney>x+5y > x + 5\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newliney≤8x+2y \leq 8x + 2\newliney>x+5y > x + 5\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (1,10)(1, 10) satisfies the first inequality y≤8x+2y \leq 8x + 2.\newlineSubstitute x=1x = 1 and y=10y = 10 into the inequality.\newline10≤8⋅1+210 \leq 8\cdot1 + 2\newline10≤1010 \leq 10\newlineThe point (1,10)(1, 10) satisfies the first inequality.
  2. Check Second Inequality: Check if (1,10)(1, 10) satisfies the second inequality y>x+5y > x + 5.\newlineSubstitute x=1x = 1 and y=10y = 10 into the inequality.\newline10>1+510 > 1 + 5\newline10>610 > 6\newlineThe point (1,10)(1, 10) satisfies the second inequality.
  3. Solution Verification: Since (1,10)(1, 10) satisfies both inequalities, it is a solution to the system.

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