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Is (5,6)(5,\,6) a solution to this system of inequalities?\newliney < x + 4\newliney < 10x + 5\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (5,6)(5,\,6) a solution to this system of inequalities?\newliney<x+4y < x + 4\newliney<10x+5y < 10x + 5\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (5,6)(5, 6): Does the point (5,6)(5, 6) satisfy the inequality y < x + 4?\newlineSubstitute x=5x = 5 and y=6y = 6 in the inequality y < x + 4.\newline6 < 5 + 4\newline6 < 9\newlineThe point (5,6)(5, 6) satisfies the inequality y < x + 4.
  2. Verify Inequality: Does the point (5,6)(5, 6) satisfy the inequality y < 10x + 5?\newlineSubstitute x=5x = 5 and y=6y = 6 in the inequality y < 10x + 5.\newline6 < 10 \times 5 + 5\newline6 < 50 + 5\newline6 < 55\newlineThe point (5,6)(5, 6) satisfies the inequality y < 10x + 5.
  3. Solution to System: Is (5,6)(5, 6) a solution to the system of inequalities?\newlineSince (5,6)(5, 6) satisfies both inequalities y < x + 4 and y < 10x + 5, it is a solution to the system of inequalities.

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