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Is (1,5)(1,\,5) a solution to this system of inequalities?\newline6x + 2y < 20\newlinex + 3y < 17\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,5)(1,\,5) a solution to this system of inequalities?\newline6x+2y<206x + 2y < 20\newlinex+3y<17x + 3y < 17\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point Satisfaction: Does the point (1,5)(1, 5) satisfy the inequality 6x + 2y < 20?\newlineSubstitute x=1x = 1 and y=5y = 5 into the inequality 6x + 2y < 20.\newline6(1) + 2(5) < 20\newline6 + 10 < 20\newline16 < 20\newlineThe point (1,5)(1, 5) satisfies the inequality 6x + 2y < 20.
  2. Check Another Inequality: Does the point (1,5)(1, 5) satisfy the inequality x + 3y < 17?\newlineSubstitute x=1x = 1 and y=5y = 5 into the inequality x + 3y < 17.\newline1 + 3(5) < 17\newline1 + 15 < 17\newline16 < 17\newlineThe point (1,5)(1, 5) satisfies the inequality x + 3y < 17.
  3. Verify System Solution: Is (1,5)(1, 5) a solution to the system of inequalities?\newlineSince the point (1,5)(1, 5) satisfies both inequalities 6x + 2y < 20 and x + 3y < 17, it is a solution to the system of inequalities.

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