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Is $(1,\,7)$ a solution to this system of inequalities? $\newline$ $y \leq x + 6$ $\newline$ $y \leq 5x + 1$ $\newline$ 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,\,7)

a solution to this system of inequalities?

\newline

y \leq x + 6

\newline

y \leq 5x + 1

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Second Inequality: Now, let's check the second inequality $y \leq 5x + 1$ . Substitute $1$ for $x$ and $7$ for $y$ . $7 \leq 5(1) + 1$ $7 \leq 5 + 1$ $7 \leq 6$ This is false, so $(1, 7)$ does not satisfy the second inequality.

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