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Is $(3,\,3)$ a solution to this system of inequalities? $\newline$ $x > 3$ $\newline$ $x + y \geq 6$ $\newline$ 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,\,3)

a solution to this system of inequalities?

\newline

x > 3

\newline

x + y \geq 6

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check $x > 3$ : Check if $(3, 3)$ satisfies the inequality $x > 3$ . $\newline$ Substitute $3$ for $x$ . $\newline$ $3 > 3$ $\newline$ This is false because $3$ is not greater than $3$ .
Substitute $x$ : Since $(3, 3)$ does not satisfy the first inequality, there's no need to check the second inequality. $\newline$ $(3, 3)$ is not a solution to the system.

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