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Is $(1,\ 8)$ a solution to this system of inequalities? $\newline$ $x + y \geq 9$ $\newline$ $3x + 2y \leq 19$ $\newline$ 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

x + y \geq 9

\newline

3x + 2y \leq 19

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Second Inequality: Now, let's check if $(1, 8)$ satisfies the second inequality $3x + 2y \leq 19$ . Substitute $x = 1$ and $y = 8$ into the inequality. $3(1) + 2(8) \leq 19$ $3 + 16 \leq 19$ $19 \leq 19$ This is also true, so $(1, 8)$ satisfies the second inequality.
Substitute Values: Since $(1, 8)$ satisfies both inequalities, it is a solution to the system of inequalities.

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