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Is $(6,\,6)$ a solution to this system of inequalities? $\newline$ $x < 8$ $\newline$ $x + y < 16$ $\newline$ 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,\,6)

a solution to this system of inequalities?

\newline

x < 8

\newline

x + y < 16

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check $x < 8$ : Check if $(6, 6)$ satisfies the first inequality $x < 8$ . $\newline$ Substitute $6$ for $x$ : $6 < 8$ . $\newline$ This is true.
Check $x + y < 16$ : Check if $(6, 6)$ satisfies the second inequality $x + y < 16$ . $\newline$ Substitute $6$ for $x$ and $6$ for $y$ : $6 + 6 < 16$ . $\newline$ $12 < 16$ is also true.
Solution to the system: Since $(6, 6)$ satisfies both inequalities, it is a solution to the system.

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