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Is $(4,\,2)$ a solution to this system of inequalities? $\newline$ 2x + 5y < 19 $\newline$ 3x + y < 14 $\newline$ 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

(4,\,2)

a solution to this system of inequalities?

\newline

2x + 5y < 19

\newline

3x + y < 14

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality $1$ : Check if $(4, 2)$ satisfies the first inequality 2x + 5y < 19. $\newline$ Substitute $x = 4$ and $y = 2$ . $\newline$ 2(4) + 5(2) < 19 $\newline$ 8 + 10 < 19 $\newline$ 18 < 19
Check Inequality $2$ : Check if $(4, 2)$ satisfies the second inequality 3x + y < 14. $\newline$ Substitute $x = 4$ and $y = 2$ . $\newline$ 3(4) + 2 < 14 $\newline$ 12 + 2 < 14 $\newline$ 14 < 14

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