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Is $(3,\ 9)$ a solution to this system of inequalities? $\newline$ $y \geq 2x + 3$ $\newline$ $y \leq x + 4$ $\newline$ 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 \geq 2x + 3

\newline

y \leq x + 4

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(3, 9)$ satisfies the first inequality $y \geq 2x + 3$ . $\newline$ Substitute $x = 3$ and $y = 9$ into the inequality. $\newline$ $9 \geq 2(3) + 3$ $\newline$ $9 \geq 6 + 3$ $\newline$ $9 \geq 9$ $\newline$ This is true, so $(3, 9)$ satisfies the first inequality.
Check Second Inequality: Check if $(3, 9)$ satisfies the second inequality $y \leq x + 4$ . $\newline$ Substitute $x = 3$ and $y = 9$ into the inequality. $\newline$ $9 \leq 3 + 4$ $\newline$ $9 \leq 7$ $\newline$ This is false, so $(3, 9)$ does not satisfy the second inequality.

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