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Is $(2,\,8)$ a solution to this system of inequalities? $\newline$ $y < x + 10$ $\newline$ $y \geq 4x + 4$ $\newline$ 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

(2,\,8)

a solution to this system of inequalities?

\newline

y < x + 10

\newline

y \geq 4x + 4

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(2, 8)$ satisfies the first inequality $y < x + 10$ . $\newline$ Substitute $x = 2$ and $y = 8$ into the inequality. $\newline$ $8 < 2 + 10$ $\newline$ $8 < 12$ , which is true.
Check Second Inequality: Now, check if $(2, 8)$ satisfies the second inequality $y \geq 4x + 4$ . Substitute $x = 2$ and $y = 8$ into the inequality. $8 \geq 4(2) + 4$ $8 \geq 8 + 4$ $8 \geq 12$ , which is false.

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