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Is (5, 8)(5,\,8) a solution to this system of inequalities?\newliney<8x+4y < 8x + 4\newliney≥x+5y \geq x + 5\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (5, 8)(5,\,8) a solution to this system of inequalities?\newliney<8x+4y < 8x + 4\newliney≥x+5y \geq x + 5\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (5,8)(5, 8) satisfies the first inequality y<8x+4y < 8x + 4.\newlineSubstitute x=5x = 5 and y=8y = 8.\newline8<8⋅5+48 < 8\cdot5 + 4\newline8<40+48 < 40 + 4\newline8<448 < 44\newlineThis is true.
  2. Check Second Inequality: Check if (5,8)(5, 8) satisfies the second inequality y≥x+5y \geq x + 5.\newlineSubstitute x=5x = 5 and y=8y = 8.\newline8≥5+58 \geq 5 + 5\newline8≥108 \geq 10\newlineThis is false, should be true.

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