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

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Q. Is (2, 8)(2,\,8) a solution to this system of inequalities?\newliney<x+8y < x + 8\newlinex>2x > 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (2,8)(2, 8): Check if the point (2,8)(2, 8) satisfies the inequality y < x + 8.\newlineSubstitute 22 for xx and 88 for yy in the inequality y < x + 8.\newline8 < 2 + 8\newline8 < 10\newlineSince 8 < 10 is true, (2,8)(2, 8) satisfies the inequality y < x + 8.
  2. Satisfy Inequality y < x + 8: Check if the point (2,8)(2, 8) satisfies the inequality x > 2. Substitute 22 for xx in the inequality x > 2. 2 > 2 Since 2 > 2 is false (22 is not greater than 22, it is equal to 22), (2,8)(2, 8) does not satisfy the inequality x > 2.

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