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

(2,\, 10)

a solution to this system of inequalities?

\newline

y \geq x + 10

\newline

y \leq 9x + 5

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Check Point: Does the point $(2, 10)$ satisfy the inequality $y \geq x + 10$ ? $\newline$ Substitute $x = 2$ and $y = 10$ in the inequality $y \geq x + 10$ . $\newline$ $10 \geq 2 + 10$ $\newline$ $10 \geq 12$ $\newline$ This is not true, so $(2, 10)$ does not satisfy the inequality $y \geq x + 10$ .

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