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Is $(1,\,7)$ a solution to this system of inequalities? $\newline$ $x + y \geq 8$ $\newline$ $2x + 12y > 12$ $\newline$ 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,\,7)

a solution to this system of inequalities?

\newline

x + y \geq 8

\newline

2x + 12y > 12

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(1, 7)$ satisfies the first inequality $x + y \geq 8$ . $\newline$ Substitute $x = 1$ and $y = 7$ . $\newline$ $1 + 7 \geq 8$ $\newline$ $8 \geq 8$ $\newline$ This is true.
Check Second Inequality: Check if $(1, 7)$ satisfies the second inequality $2x + 12y > 12$ . Substitute $x = 1$ and $y = 7$ . $2(1) + 12(7) > 12$ $2 + 84 > 12$ $86 > 12$ This is true.

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