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Is $(1,\ 4)$ a solution to this system of inequalities? $\newline$ $y \leq 5$ $\newline$ 12x + y < 20 $\newline$ 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

(1,\ 4)

a solution to this system of inequalities?

\newline

y \leq 5

\newline

12x + y < 20

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality $y \leq 5$ : Check if $(1, 4)$ satisfies the inequality $y \leq 5$ . $\newline$ Substitute $1$ for $x$ and $4$ for $y$ . $\newline$ $4 \leq 5$ $\newline$ This is true.
Check Inequality 12x + y < 20: Check if $(1, 4)$ satisfies the inequality 12x + y < 20. Substitute $1$ for $x$ and $4$ for $y$ . 12(1) + 4 < 20 12 + 4 < 20 16 < 20 This is also true.
Solution Verification: Since $(1, 4)$ satisfies both inequalities, it is a solution to the system.

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