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Is $(3,\,9)$ a solution to this system of inequalities? $\newline$ $y \leq 2x + 2$ $\newline$ $y \geq x + 6$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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

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Q. Is

(3,\,9)

a solution to this system of inequalities?

\newline

y \leq 2x + 2

\newline

y \geq x + 6

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality: Check if $(3, 9)$ satisfies the first inequality $y \leq 2x + 2$ . $\newline$ Substitute $x = 3$ and $y = 9$ into the inequality. $\newline$ $9 \leq 2(3) + 2$ $\newline$ $9 \leq 6 + 2$ $\newline$ $9 \leq 8$ $\newline$ This is false, so $(3, 9)$ does not satisfy the first inequality.

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