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Is (1, 3)(1,\ 3) a solution to this system of inequalities?\newlinex + 5y > 11\newline6x + 4y < 20\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 3)(1,\ 3) a solution to this system of inequalities?\newlinex+5y>11x + 5y > 11\newline6x+4y<206x + 4y < 20\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (1,3)(1, 3): Does the point (1,3)(1, 3) satisfy the inequality x + 5y > 11?\newlineSubstitute x=1x = 1 and y=3y = 3 into the inequality x + 5y > 11.\newline1 + 5 \times 3 > 11\newline1 + 15 > 11\newline16 > 11\newlineThe point (1,3)(1, 3) satisfies the inequality x + 5y > 11.
  2. Verify Inequality x + 5y > 11: Does the point (1,3)(1, 3) satisfy the inequality 6x + 4y < 20?\newlineSubstitute x=1x = 1 and y=3y = 3 into the inequality 6x + 4y < 20.\newline6 \times 1 + 4 \times 3 < 20\newline6 + 12 < 20\newline18 < 20\newlineThe point (1,3)(1, 3) satisfies the inequality 6x + 4y < 20.
  3. Verify Inequality 6x + 4y < 20: Is (1,3)(1, 3) a solution to the system of inequalities?\newlineSince (1,3)(1, 3) satisfies both inequalities x + 5y > 11 and 6x + 4y < 20, it is a solution to the system of inequalities.

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