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Is (2, 9)(2,\,9) a solution to this system of inequalities?\newliney>x+2y > x + 2\newliney≥8x+2y \geq 8x + 2\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (2, 9)(2,\,9) a solution to this system of inequalities?\newliney>x+2y > x + 2\newliney≥8x+2y \geq 8x + 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (2,9)(2, 9) satisfies the first inequality y>x+2y > x + 2.\newlineSubstitute x=2x = 2 and y=9y = 9 into the inequality.\newline9>2+29 > 2 + 2\newline9>49 > 4\newlineThis is true.
  2. Check Second Inequality: Check if (2,9)(2, 9) satisfies the second inequality y≥8x+2y \geq 8x + 2.\newlineSubstitute x=2x = 2 and y=9y = 9 into the inequality.\newline9≥8×2+29 \geq 8 \times 2 + 2\newline9≥16+29 \geq 16 + 2\newline9≥189 \geq 18\newlineThis is false.

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