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

Check Point (2, 8): Does the point (2, 8) satisfy the inequality y x + 2? Substitute x = 2 and y = 8 into the inequality y > x + 2. 8 > 2 + 2 8 > 4 The point (2, 8) satisfies the inequality y > x + 2.Solution to System: Is (2, 8) a solution to the system of inequalities? Since (2, 8) satisfies both inequalities y x + 2, it is a solution to the system of inequalities.

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Is $(2,\,8)$ a solution to this system of inequalities? $\newline$ y < 10x + 7 $\newline$ y > 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

(2,\,8)

a solution to this system of inequalities?

\newline

y < 10x + 7

\newline

y > x + 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(2, 8)$ : Does the point $(2, 8)$ satisfy the inequality y < 10x + 7? $\newline$ Substitute $x = 2$ and $y = 8$ into the inequality y < 10x + 7. $\newline$ 8 < 10 \times 2 + 7 $\newline$ 8 < 20 + 7 $\newline$ 8 < 27 $\newline$ The point $(2, 8)$ satisfies the inequality y < 10x + 7.
Verify Inequality: Does the point $(2, 8)$ satisfy the inequality y > x + 2? $\newline$ Substitute $x = 2$ and $y = 8$ into the inequality y > x + 2. $\newline$ 8 > 2 + 2 $\newline$ 8 > 4 $\newline$ The point $(2, 8)$ satisfies the inequality y > x + 2.
Solution to System: Is $(2, 8)$ a solution to the system of inequalities? $\newline$ Since $(2, 8)$ satisfies both inequalities y < 10x + 7 and y > x + 2, it is a solution to the system of inequalities.