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Is $(6,\,3)$ a solution to this system of inequalities? $\newline$ x + y < 9 $\newline$ 18x + 18y > 19 $\newline$ 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

(6,\,3)

a solution to this system of inequalities?

\newline

x + y < 9

\newline

18x + 18y > 19

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point: Does the point $(6, 3)$ satisfy the inequality x + y < 9? $\newline$ Substitute $6$ for $x$ and $3$ for $y$ in x + y < 9. $\newline$ 6 + 3 < 9 $\newline$ 9 < 9 $\newline$ Since 9 < 9 is false (it should be x + y < 9 $0$ for the inequality to hold), $(6, 3)$ does not satisfy x + y < 9.

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