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Is $(1,\,1)$ a solution to this system of inequalities? $\newline$ $2x + y < 3$ $\newline$ $2x + 17y < 20$ $\newline$ 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

2x + y < 3

\newline

2x + 17y < 20

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality: Check if $(1, 1)$ satisfies the first inequality $2x + y < 3$ . $\newline$ Substitute $x = 1$ and $y = 1$ into the inequality. $\newline$ $2(1) + 1 < 3$ $\newline$ $2 + 1 < 3$ $\newline$ $3 < 3$ $\newline$ This is false, since $3$ is not less than $3$ .

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