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

\newline

y \geq x + 7

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality y > 7: Check if $(1, 10)$ satisfies the inequality y > 7. $\newline$ Substitute $10$ for $y$ . $\newline$ 10 > 7 $\newline$ This is true.
Check Inequality $y \geq x + 7$ : Check if $(1, 10)$ satisfies the inequality $y \geq x + 7$ . $\newline$ Substitute $1$ for $x$ and $10$ for $y$ . $\newline$ $10 \geq 1 + 7$ $\newline$ $10 \geq 8$ $\newline$ This is also true.
Verify Solution: Since $(1, 10)$ satisfies both inequalities, it is a solution to the system.

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