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Is $(9,\ 10)$ a solution to this system of inequalities? $\newline$ 15x + 4y > 17 $\newline$ x + y < 20 $\newline$ 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

(9,\ 10)

a solution to this system of inequalities?

\newline

15x + 4y > 17

\newline

x + y < 20

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(9, 10)$ satisfies the first inequality 15x + 4y > 17. $\newline$ Substitute $x = 9$ and $y = 10$ . $\newline$ 15(9) + 4(10) > 17 $\newline$ 135 + 40 > 17 $\newline$ 175 > 17 $\newline$ This is true.
Check Second Inequality: Check if $(9, 10)$ satisfies the second inequality x + y < 20. Substitute $x = 9$ and $y = 10$ . 9 + 10 < 20 19 < 20 This is also true.

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