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Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newliney < x + 10\newliney9x+1y \geq 9x + 1\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newliney<x+10y < x + 10\newliney9x+1y \geq 9x + 1\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (1,10)(1, 10): Does the point (1,10)(1, 10) satisfy the inequality y < x + 10?\newlineSubstitute x=1x = 1 and y=10y = 10 in the inequality y < x + 10.\newline10 < 1 + 10\newline10 < 11\newlineThe point (1,10)(1, 10) satisfies the inequality y < x + 10.
  2. Verify Inequality: Does the point (1,10)(1, 10) satisfy the inequality y9x+1y \geq 9x + 1?\newlineSubstitute x=1x = 1 and y=10y = 10 in the inequality y9x+1y \geq 9x + 1.\newline109×1+110 \geq 9 \times 1 + 1\newline109+110 \geq 9 + 1\newline101010 \geq 10\newlineThe point (1,10)(1, 10) satisfies the inequality y9x+1y \geq 9x + 1.
  3. Solution to System: Is (1,10)(1, 10) a solution to the system of inequalities?\newlineSince the point (1,10)(1, 10) satisfies both inequalities y < x + 10 and y9x+1y \geq 9x + 1, it is a solution to the system of inequalities.

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