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

Full solution

Q. Is (1,3)(1,\,3) a solution to this system of inequalities?\newliney>x+1y > x + 1\newliney<3x+2y < 3x + 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality 11: Check if (1,3)(1, 3) satisfies the inequality y>x+1y > x + 1.\newlineSubstitute x=1x = 1 and y=3y = 3 into the inequality.\newline3>1+13 > 1 + 1\newline3>23 > 2
  2. Substitute xx and yy: Check if (1,3)(1, 3) satisfies the inequality y<3x+2y < 3x + 2.\newlineSubstitute x=1x = 1 and y=3y = 3 into the inequality.\newline3<3×1+23 < 3 \times 1 + 2\newline3<3+23 < 3 + 2\newline3<53 < 5
  3. Check Inequality 22: Since (1,3)(1, 3) satisfies both inequalities, it is a solution to the system.

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