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Is $(1,\ 10)$ a solution to this system of inequalities? $\newline$ $y > 4x + 6$ $\newline$ $y < x + 9$ $\newline$ 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 > 4x + 6

\newline

y < x + 9

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality: Check if $(1, 10)$ satisfies the first inequality $y > 4x + 6$ . Substitute $x = 1$ and $y = 10$ into the inequality. $10 > 4(1) + 6$ $10 > 4 + 6$ $10 > 10$ This is false, since $10$ is not greater than $10$ .
Substitute Values: Since $(1, 10)$ does not satisfy the first inequality, there's no need to check the second inequality. $\newline$ $(1, 10)$ is not a solution to the system of inequalities.

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