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Is $(1,\,6)$ a solution to this system of inequalities? $\newline$ $y \geq 4x + 7$ $\newline$ $y < x + 9$ $\newline$ 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,\,6)

a solution to this system of inequalities?

\newline

y \geq 4x + 7

\newline

y < x + 9

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality: Check if $(1, 6)$ satisfies the inequality $y \geq 4x + 7$ . $\newline$ Substitute $1$ for $x$ and $6$ for $y$ . $\newline$ $6 \geq 4(1) + 7$ $\newline$ $6 \geq 4 + 7$ $\newline$ $6 \geq 11$ $\newline$ This is false, so $(1, 6)$ does not satisfy $y \geq 4x + 7$ .

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