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Is $(3,\ 10)$ a solution to this system of inequalities? $\newline$ $x \geq 3$ $\newline$ y > x + 5 $\newline$ 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,\ 10)

a solution to this system of inequalities?

\newline

x \geq 3

\newline

y > x + 5

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check $x \geq 3$ : Check if the point $(3, 10)$ satisfies the inequality $x \geq 3$ . $\newline$ Substitute $3$ for $x$ . $\newline$ $3 \geq 3$ $\newline$ Since $3$ is equal to $3$ , the point $(3, 10)$ satisfies the inequality $x \geq 3$ .
Check y > x + 5: Check if the point $(3, 10)$ satisfies the inequality y > x + 5. Substitute $3$ for $x$ and $10$ for $y$ . 10 > 3 + 5 10 > 8 Since $10$ is greater than $(3, 10)$ $0$ , the point $(3, 10)$ satisfies the inequality y > x + 5.
Determine solution to system: Determine if $(3, 10)$ is a solution to the system of inequalities. $\newline$ Since the point $(3, 10)$ satisfies both inequalities $x \geq 3$ and y > x + 5, it is a solution to the system of inequalities.

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