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Is $(2,\,2)$ a solution to this system of inequalities? $\newline$ $x < 4$ $\newline$ $13x + y \leq 14$ $\newline$ 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

(2,\,2)

a solution to this system of inequalities?

\newline

x < 4

\newline

13x + y \leq 14

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check $x < 4$ : Check if $(2, 2)$ satisfies the inequality $x < 4$ . $\newline$ Substitute $2$ for $x$ . $\newline$ $2 < 4$ $\newline$ This is true.
Check $13x + y \leq 14$ : Check if $(2, 2)$ satisfies the inequality $13x + y \leq 14$ . $\newline$ Substitute $2$ for $x$ and $2$ for $y$ . $\newline$ $13(2) + 2 \leq 14$ $\newline$ $26 + 2 \leq 14$ $\newline$ $28 \leq 14$ $\newline$ This is false.

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