Is (6, 8) a solution to this system of inequalities? y < 2x + 8 y ≥ x + 2 Choices: (A)yes (B)no

Check Point (6, 8): Does the point (6, 8) satisfy the inequality y < 2x + 8? Substitute x = 6 and y = 8 in the inequality y < 2x + 8. 8 < 2 * 6 + 8 8 < 12 + 8 8 < 20 The point (6, 8) satisfies the inequality y < 2x + 8.Verify Inequality: Does the point (6, 8) satisfy the inequality y ≥ x + 2? Substitute x = 6 and y = 8 in the inequality y ≥ x + 2. 8 ≥ 6 + 2 8 ≥ 8 The point (6, 8) satisfies the inequality y ≥ x + 2.Solution to System: Is (6, 8) a solution to the system of inequalities? Since (6, 8) satisfies both inequalities y < 2x + 8 and y ≥ x + 2, it is a solution to the system of inequalities.

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Is $(6,\,8)$ a solution to this system of inequalities? $\newline$ y < 2x + 8 $\newline$ $y \geq x + 2$ $\newline$ 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

(6,\,8)

a solution to this system of inequalities?

\newline

y < 2x + 8

\newline

y \geq x + 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(6, 8)$ : Does the point $(6, 8)$ satisfy the inequality y < 2x + 8? $\newline$ Substitute $x = 6$ and $y = 8$ in the inequality y < 2x + 8. $\newline$ 8 < 2 \times 6 + 8 $\newline$ 8 < 12 + 8 $\newline$ 8 < 20 $\newline$ The point $(6, 8)$ satisfies the inequality y < 2x + 8.
Verify Inequality: Does the point $(6, 8)$ satisfy the inequality $y \geq x + 2$ ? $\newline$ Substitute $x = 6$ and $y = 8$ in the inequality $y \geq x + 2$ . $\newline$ $8 \geq 6 + 2$ $\newline$ $8 \geq 8$ $\newline$ The point $(6, 8)$ satisfies the inequality $y \geq x + 2$ .
Solution to System: Is $(6, 8)$ a solution to the system of inequalities? $\newline$ Since $(6, 8)$ satisfies both inequalities y < 2x + 8 and $y \geq x + 2$ , it is a solution to the system of inequalities.