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Is (2, 6)(2,\,6) a solution to this system of inequalities?\newline11x+3y≥1211x + 3y \geq 12\newline13x+y≥1413x + y \geq 14\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (2, 6)(2,\,6) a solution to this system of inequalities?\newline11x+3y≥1211x + 3y \geq 12\newline13x+y≥1413x + y \geq 14\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point 2,62, 6: Check if the point 2,62, 6 satisfies the inequality 11x+3y≥1211x + 3y \geq 12. Substitute x=2x = 2 and y=6y = 6 into the inequality. $11(2)+3(6)≥12\$11(2) + 3(6) \geq 12 2222 + 1818 \geq 1212\) $40 \geq 12 This is true, so the point 2,62, 6 satisfies the first inequality.
  2. Check Inequality 11: Check if the point (2,6)(2, 6) satisfies the inequality 13x+y≥1413x + y \geq 14. Substitute x=2x = 2 and y=6y = 6 into the inequality. 13(2)+6≥1413(2) + 6 \geq 14 26+6≥1426 + 6 \geq 14 32≥1432 \geq 14 This is true, so the point (2,6)(2, 6) satisfies the second inequality.
  3. Check Inequality 22: Determine if the point (2,6)(2, 6) is a solution to the system of inequalities.\newlineSince the point (2,6)(2, 6) satisfies both inequalities, it is a solution to the system.

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