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Is $(3,\,8)$ a solution to this system of inequalities? $\newline$ $y > x + 2$ $\newline$ $y < 2x + 2$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Is (x, y) a solution to the system of inequalities?

Full solution

Q. Is

(3,\,8)

a solution to this system of inequalities?

\newline

y > x + 2

\newline

y < 2x + 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality $y > x + 2$ : Check if $(3, 8)$ satisfies the inequality $y > x + 2$ . Substitute $x = 3$ and $y = 8$ . $8 > 3 + 2$ $8 > 5$ This is true.
Check Inequality $y < 2x + 2$ : Check if $(3, 8)$ satisfies the inequality $y < 2x + 2$ . Substitute $x = 3$ and $y = 8$ . $8 < 2 \times 3 + 2$ $8 < 6 + 2$ $8 < 8$ This is false, it should be $8 \leq 8$ , but the inequality says $y < 2x + 2$ .

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