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Is (2,9)(2,\,9) a solution to this system of inequalities?\newlineyx+9y \geq x + 9\newliney < 5x + 10\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (2,9)(2,\,9) a solution to this system of inequalities?\newlineyx+9y \geq x + 9\newliney<5x+10y < 5x + 10\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (2,9) (2, 9) : Check if the point (2,9) (2, 9) satisfies the inequality yx+7 y \geq x + 7 .\newlineSubstitute x=2 x = 2 and y=9 y = 9 into the inequality:\newline92+7 9 \geq 2 + 7 \newline99 9 \geq 9 \newlineThis is true, so (2,9) (2, 9) satisfies yx+7 y \geq x + 7 .
  2. Substitute Values: Since the point (2,9)(2, 9) failed to satisfy the first inequality, there's no need to check the second inequality. The point cannot be a solution if it doesn't satisfy all inequalities.

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