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Is $(1,\,5)$ a solution to this system of inequalities? $\newline$ $9x + 2y < 20$ $\newline$ $14x + y \geq 20$ $\newline$ 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,\,5)

a solution to this system of inequalities?

\newline

9x + 2y < 20

\newline

14x + y \geq 20

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(1, 5)$ satisfies the first inequality $9x + 2y < 20$ . Substitute $x = 1$ and $y = 5$ into the inequality. $9(1) + 2(5) < 20$ $9 + 10 < 20$ $19 < 20$ , which is true.
Check Second Inequality: Check if $(1, 5)$ satisfies the second inequality $14x + y \geq 20$ . $\newline$ Substitute $x = 1$ and $y = 5$ into the inequality. $\newline$ $14(1) + 5 \geq 20$ $\newline$ $14 + 5 \geq 20$ $\newline$ $19 \geq 20$ , which is false.

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