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Is (1, 9)(1,\,9) a solution to this system of inequalities?\newliney > 5x + 2\newliney < x + 10\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>5x+2y > 5x + 2\newliney<x+10y < x + 10\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point Satisfaction: Does the point (1,9)(1, 9) satisfy the inequality y > 5x + 2?\newlineSubstitute x=1x = 1 and y=9y = 9 into the inequality y > 5x + 2.\newline9 > 5(1) + 2\newline9 > 5 + 2\newline9 > 7\newlineThe point (1,9)(1, 9) satisfies the inequality y > 5x + 2.
  2. Verify Inequality: Does the point (1,9)(1, 9) satisfy the inequality y < x + 10?\newlineSubstitute x=1x = 1 and y=9y = 9 into the inequality y < x + 10.\newline9 < 1 + 10\newline9 < 11\newlineThe point (1,9)(1, 9) satisfies the inequality y < x + 10.
  3. Solution to System: Is (1,9)(1, 9) a solution to the system of inequalities?\newlineSince the point (1,9)(1, 9) satisfies both inequalities y > 5x + 2 and y < x + 10, it is a solution to the system of inequalities.

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