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Is $(3,\,6)$ a solution to this system of inequalities? $\newline$ $x < 4$ $\newline$ $y \geq x + 1$ $\newline$ 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

(3,\,6)

a solution to this system of inequalities?

\newline

x < 4

\newline

y \geq x + 1

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Since $3$ is less than $4$ , the point $(3, 6)$ satisfies the first inequality.
Check Second Inequality: Now, let's check if $(3, 6)$ satisfies the inequality $y \geq x + 1$ . Substitute $3$ for $x$ and $6$ for $y$ . $6 \geq 3 + 1$ $6 \geq 4$
Final Conclusion: Since $6$ is greater than or equal to $4$ , the point $(3, 6)$ satisfies the second inequality as well.

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