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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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