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Is $(1,\ 10)$ a solution to this system of inequalities? $\newline$ y > 8 $\newline$ $y \leq x + 9$ $\newline$ 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 > 8

\newline

y \leq x + 9

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality y > 8: Check if the point $(1, 10)$ satisfies the inequality y > 8. $\newline$ Substitute $1$ for $x$ and $10$ for $y$ in y > 8. $\newline$ 10 > 8 $\newline$ Since $10$ is greater than $(1, 10)$ $0$ , the inequality is true.
Check Inequality $y \leq x + 9$ : Check if the point $(1, 10)$ satisfies the inequality $y \leq x + 9$ . Substitute $1$ for $x$ and $10$ for $y$ in $y \leq x + 9$ . $10 \leq 1 + 9$ $10 \leq 10$ Since $10$ is equal to $10$ , the inequality is true.
Determine Solution to System: Determine if $(1, 10)$ is a solution to the system of inequalities. $\newline$ Since $(1, 10)$ satisfies both inequalities y > 8 and $y \leq x + 9$ , it is a solution to the system.

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