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Is $(1,\,1)$ a solution to this system of inequalities? $\newline$ $x + 5y \geq 6$ $\newline$ 3x + 13y < 17 $\newline$ 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,\,1)

a solution to this system of inequalities?

\newline

x + 5y \geq 6

\newline

3x + 13y < 17

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Second Inequality: Now, let's check the second inequality 3x + 13y < 17 with $(1, 1)$ . $\newline$ Substitute $x = 1$ and $y = 1$ into the inequality. $\newline$ 3(1) + 13(1) < 17 $\newline$ 3 + 13 < 17 $\newline$ 16 < 17 $\newline$ This is also true, so $(1, 1)$ satisfies the second inequality.
Substitute Values: Since $(1, 1)$ satisfies both inequalities, it is a solution to the system of inequalities.

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