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Is (1,7)(1,\,7) a solution to this system of inequalities?\newlineyx+6y \geq x + 6\newliney4x+3y \leq 4x + 3\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,7)(1,\,7) a solution to this system of inequalities?\newlineyx+6y \geq x + 6\newliney4x+3y \leq 4x + 3\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality (1,7)(1, 7): Check if the point (1,7)(1, 7) satisfies the inequality yx+6y \geq x + 6.\newlineSubstitute x=1x = 1 and y=7y = 7 into the inequality.\newline71+67 \geq 1 + 6\newline777 \geq 7\newlineSince 77 is equal to 77, the inequality holds true.
  2. Check Inequality (1,7)(1, 7): Check if the point (1,7)(1, 7) satisfies the inequality y4x+3y \leq 4x + 3. Substitute x=1x = 1 and y=7y = 7 into the inequality. 74(1)+37 \leq 4(1) + 3 74+37 \leq 4 + 3 777 \leq 7 Since 77 is equal to 77, the inequality holds true.
  3. Determine Solution 1,71, 7: Determine if 1,71, 7 is a solution to the system of inequalities.\newlineSince the point 1,71, 7 satisfies both inequalities yx+6y \geq x + 6 and y4x+3y \leq 4x + 3, it is a solution to the system of inequalities.

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