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Is $(7,\,2)$ a solution to this system of inequalities? $\newline$ $2x + 2y < 18$ $\newline$ $x + y \leq 9$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Is (x, y) a solution to the system of linear inequalities?

Full solution

Q. Is

(7,\,2)

a solution to this system of inequalities?

\newline

2x + 2y < 18

\newline

x + y \leq 9

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Correcting Mistake: Oops, we made a mistake in the previous step, let's correct it. $\newline$ $2(7) + 2(2) < 18$ $\newline$ $14 + 4 < 18$ $\newline$ $18 < 18$ is not true, it should be $18 = 18$ , but since the inequality is strict ( $<$ ), $(7, 2)$ does not satisfy the first inequality.

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