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Is $(2,\,10)$ a solution to this system of inequalities? $\newline$ $y \geq 4x + 2$ $\newline$ $y \geq x + 9$ $\newline$ 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 4x + 2

\newline

y \geq x + 9

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Second Inequality: Now, let's check the second inequality $y \geq x + 9$ . $\newline$ Substitute $x = 2$ and $y = 10$ into the inequality. $\newline$ $10 \geq 2 + 9$ $\newline$ $10 \geq 11$ $\newline$ This is false, so $(2, 10)$ does not satisfy the second inequality.

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