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Is (1,9)(1,\,9) a solution to this system of inequalities?\newliney > 3x + 2\newliney > x + 6\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,9)(1,\,9) a solution to this system of inequalities?\newliney>3x+2y > 3x + 2\newliney>x+6y > x + 6\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (1,9)(1, 9): Does the point (1,9)(1, 9) satisfy the inequality y > 3x + 2?\newlineSubstitute x=1x = 1 and y=9y = 9 into the inequality y > 3x + 2.\newline9 > 3(1) + 2\newline9 > 3 + 2\newline9 > 5\newlineThe point (1,9)(1, 9) satisfies the inequality y > 3x + 2.
  2. Check Point (1,9)(1, 9): Does the point (1,9)(1, 9) satisfy the inequality y > x + 6?\newlineSubstitute x=1x = 1 and y=9y = 9 into the inequality y > x + 6.\newline9 > 1 + 6\newline9 > 7\newlineThe point (1,9)(1, 9) satisfies the inequality y > x + 6.
  3. Solution to System: Is (1,9)(1, 9) a solution to the system of inequalities?\newlineSince (1,9)(1, 9) satisfies both inequalities y > 3x + 2 and y > x + 6, it is a solution to the system of inequalities.

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