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Is (1, 8)(1,\ 8) a solution to this system of inequalities?\newline9x + y < 20\newline3x+2y193x + 2y \geq 19\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 8)(1,\ 8) a solution to this system of inequalities?\newline9x+y<209x + y < 20\newline3x+2y193x + 2y \geq 19\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point Satisfaction: Does the point (1,8)(1, 8) satisfy the inequality 9x + y < 20?\newlineSubstitute x=1x = 1 and y=8y = 8 into the inequality 9x + y < 20.\newline9(1) + 8 < 20\newline9 + 8 < 20\newline17 < 20\newlineThe point (1,8)(1, 8) satisfies the inequality 9x + y < 20.
  2. Check Inequality Satisfaction: Does the point (1,8)(1, 8) satisfy the inequality 3x+2y193x + 2y \geq 19?\newlineSubstitute x=1x = 1 and y=8y = 8 into the inequality 3x+2y193x + 2y \geq 19.\newline3(1)+2(8)193(1) + 2(8) \geq 19\newline3+16193 + 16 \geq 19\newline191919 \geq 19\newlineThe point (1,8)(1, 8) satisfies the inequality 3x+2y193x + 2y \geq 19.
  3. Verify System Solution: Is (1,8)(1, 8) a solution to the system of inequalities?\newlineSince the point (1,8)(1, 8) satisfies both inequalities 9x + y < 20 and 3x+2y193x + 2y \geq 19, it is a solution to the system of inequalities.

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