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Is $(3,\,9)$ a solution to this system of inequalities? $\newline$ $y > x + 5$ $\newline$ $x \geq 2$ $\newline$ 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,\,9)

a solution to this system of inequalities?

\newline

y > x + 5

\newline

x \geq 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point Satisfaction: Check if the point $(3, 9)$ satisfies the inequality $y > x + 5$ . $\newline$ Substitute $3$ for $x$ and $9$ for $y$ in the inequality $y > x + 5$ . $\newline$ $9 > 3 + 5$ $\newline$ $9 > 8$ $\newline$ Since $9 > 8$ is true, $(3, 9)$ satisfies the inequality $y > x + 5$ .
Check Inequality $x$ : Check if the point $(3, 9)$ satisfies the inequality $x \geq 2$ . $\newline$ Substitute $3$ for $x$ in the inequality $x \geq 2$ . $\newline$ $3 \geq 2$ $\newline$ Since $3 \geq 2$ is true, $(3, 9)$ satisfies the inequality $x \geq 2$ .
Determine Solution: Determine if $(3, 9)$ is a solution to the system of inequalities. $\newline$ Since $(3, 9)$ satisfies both inequalities $y > x + 5$ and $x \geq 2$ , it is a solution to the system of inequalities.

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