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Is $(6,\,9)$ a solution to this system of inequalities? $\newline$ $y \geq x + 2$ $\newline$ $y < 10x + 5$ $\newline$ 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

(6,\,9)

a solution to this system of inequalities?

\newline

y \geq x + 2

\newline

y < 10x + 5

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Second Inequality: Now, let's check if $(6, 9)$ satisfies the second inequality $y < 10x + 5$ . Substitute $x = 6$ and $y = 9$ into the inequality. $9 < 10(6) + 5$ $9 < 60 + 5$ $9 < 65$ This is also true, so $(6, 9)$ satisfies the second inequality.
Substitute Values: Since $(6, 9)$ satisfies both inequalities, it is a solution to the system of inequalities.

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