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Is $(3,\,8)$ a solution to this system of inequalities? $\newline$ $y \geq x + 5$ $\newline$ y > 2x + 2 $\newline$ 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

(3,\,8)

a solution to this system of inequalities?

\newline

y \geq x + 5

\newline

y > 2x + 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality $(3, 8)$ : Check if $(3, 8)$ satisfies the inequality $y \geq x + 5$ . $\newline$ Substitute $x = 3$ and $y = 8$ . $\newline$ $8 \geq 3 + 5$ $\newline$ $8 \geq 8$ $\newline$ This is true.
Verify $y \geq x + 5$ : Check if $(3, 8)$ satisfies the inequality y > 2x + 2. $\newline$ Substitute $x = 3$ and $y = 8$ . $\newline$ 8 > 2(3) + 2 $\newline$ 8 > 6 + 2 $\newline$ 8 > 8 $\newline$ This is false, because $8$ is not greater than $8$ .

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