Is (3, 8) a solution to this system of inequalities? y > x + 2 y < 2x + 2 Choices: (A)yes (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 * 3 + 2 8 < 6 + 2 8 < 8 This is false, it should be 8 ≤ 8, but the inequality says y < 2x + 2.

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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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Algebra 2

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.