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Is $(1,\,5)$ a solution to this system of inequalities? $\newline$ y < 6x + 8 $\newline$ y < x + 8 $\newline$ 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,\,5)

a solution to this system of inequalities?

\newline

y < 6x + 8

\newline

y < x + 8

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(1, 5)$ satisfies the first inequality y < 6x + 8. $\newline$ Substitute $1$ for $x$ and $5$ for $y$ . $\newline$ 5 < 6(1) + 8 $\newline$ 5 < 6 + 8 $\newline$ 5 < 14 $\newline$ This is true.
Check Second Inequality: Check if $(1, 5)$ satisfies the second inequality y < x + 8. $\newline$ Substitute $1$ for $x$ and $5$ for $y$ . $\newline$ 5 < 1 + 8 $\newline$ 5 < 9 $\newline$ This is true.

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