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Is (7,2)(7,\,2) a solution to this system of inequalities?\newline2x + 2y < 18\newlinex+y9x + y \leq 9\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (7,2)(7,\,2) a solution to this system of inequalities?\newline2x+2y<182x + 2y < 18\newlinex+y9x + y \leq 9\newlineChoices:\newline(A)yes\newline(B)no
  1. Correcting Mistake: Oops, we made a mistake in the previous step, let's correct it.\newline2(7) + 2(2) < 18\newline14 + 4 < 18\newline18 < 18 is not true, it should be 18=1818 = 18, but since the inequality is strict (<), (7,2)(7, 2) does not satisfy the first inequality.

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