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Is $(1,\ 10)$ a solution to this system of inequalities? $\newline$ $y \geq 3x + 7$ $\newline$ $y < x + 9$ $\newline$ 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

(1,\ 10)

a solution to this system of inequalities?

\newline

y \geq 3x + 7

\newline

y < x + 9

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Solution for $1, 10$ : Check if $1, 10$ satisfies $y \geq 3x + 7$ . $\newline$ Substitute $x = 1$ and $y = 10$ . $\newline$ $10 \geq 3(1) + 7$ $\newline$ $10 \geq 10$ $\newline$ This is true.
Check $y \geq 3x + 7$ : Check if $(1, 10)$ satisfies $y < x + 9$ . $\newline$ Substitute $x = 1$ and $y = 10$ . $\newline$ $10 < 1 + 9$ $\newline$ $10 < 10$ $\newline$ This is false, since $10$ is not less than $10$ .

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