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Is (1,7)(1,\,7) a solution to this system of inequalities?\newliney7y \leq 7\newline11x + y < 20\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,7)(1,\,7) a solution to this system of inequalities?\newliney7y \leq 7\newline11x+y<2011x + y < 20\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality y7y \leq 7: First, let's check if the point (1,7)(1, 7) satisfies the inequality y7y \leq 7. Substitute 11 for xx and 77 for yy in y7y \leq 7. 777 \leq 7 Since 77 is equal to 77, the inequality holds true.
  2. Check Inequality 11x + y < 20: Next, let's check if the point (1,7)(1, 7) satisfies the inequality 11x + y < 20. Substitute 11 for xx and 77 for yy in 11x + y < 20. 11(1) + 7 < 20 11 + 7 < 20 (1,7)(1, 7)00 Since (1,7)(1, 7)11 is less than (1,7)(1, 7)22, the inequality holds true.
  3. Solution Verification: Since the point (1,7)(1, 7) satisfies both inequalities y7y \leq 7 and 11x + y < 20, it is a solution to the system of inequalities.

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