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Is $(1,\,8)$ a solution to this system of inequalities? $\newline$ $y \leq x + 7$ $\newline$ $y < 5x + 3$ $\newline$ 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,\,8)

a solution to this system of inequalities?

\newline

y \leq x + 7

\newline

y < 5x + 3

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Second Inequality: Now, let's check the second inequality $y < 5x + 3$ with $(1, 8)$ . $\newline$ Substitute $x = 1$ and $y = 8$ into the inequality. $\newline$ $8 < 5(1) + 3$ $\newline$ $8 < 5 + 3$ $\newline$ $8 < 8$ $\newline$ This is false, because $8$ is not less than $8$ , it's equal.

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