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Is $(1,\ 1)$ a solution to this system of inequalities? $\newline$ x + 6y < 7 $\newline$ $5x + 15y \leq 20$ $\newline$ 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,\ 1)

a solution to this system of inequalities?

\newline

x + 6y < 7

\newline

5x + 15y \leq 20

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality: Check if $(1, 1)$ satisfies the first inequality: x + 6y < 7. $\newline$ Substitute $1$ for $x$ and $1$ for $y$ . $\newline$ 1 + 6(1) < 7 $\newline$ 7 < 7 $\newline$ This is false because $7$ is not less than $7$ .

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