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Is $(2,\,3)$ a solution to this system of inequalities? $\newline$ y < 4 $\newline$ $x + 5y \geq 18$ $\newline$ 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,\,3)

a solution to this system of inequalities?

\newline

y < 4

\newline

x + 5y \geq 18

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check $y$ Value: Check if $(2, 3)$ satisfies y < 4. $\newline$ Substitute $3$ for $y$ . $\newline$ 3 < 4 $\newline$ This is true.
Check $x + 5y$ Value: Check if $(2, 3)$ satisfies $x + 5y \geq 18$ . $\newline$ Substitute $2$ for $x$ and $3$ for $y$ . $\newline$ $2 + 5(3) \geq 18$ $\newline$ $2 + 15 \geq 18$ $\newline$ $17 \geq 18$ $\newline$ This is false.

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