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Is (2,3)(2,\,3) a solution to this system of inequalities?\newliney<4x+4y < 4x + 4\newliney<x+10y < x + 10\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (2,3)(2,\,3) a solution to this system of inequalities?\newliney<4x+4y < 4x + 4\newliney<x+10y < x + 10\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (2,3)(2, 3) satisfies the first inequality y<4x+4y < 4x + 4. Substitute x=2x = 2 and y=3y = 3 into the inequality. 3<4(2)+43 < 4(2) + 4 3<8+43 < 8 + 4 3<123 < 12 The point (2,3)(2, 3) satisfies the first inequality.
  2. Check Second Inequality: Check if (2,3)(2, 3) satisfies the second inequality y<x+10y < x + 10. Substitute x=2x = 2 and y=3y = 3 into the inequality. 3<2+103 < 2 + 10 3<123 < 12 The point (2,3)(2, 3) satisfies the second inequality.
  3. Solution to Inequalities: Since (2,3)(2, 3) satisfies both inequalities, it is a solution to the system of inequalities.

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