Is (4, 6) a solution to this system of inequalities? y x + 1 Choices: (A)yes (B)no

Check Point (4, 6): Does the point (4, 6) satisfy the inequality y x + 1? Substitute x = 4 and y = 6 into the inequality y > x + 1. 6 > 4 + 1 6 > 5 The point (4, 6) satisfies the inequality y > x + 1.Check Point (4, 6): Is (4, 6) a solution to the system of inequalities? Since (4, 6) satisfies both inequalities y x + 1, it is a solution to the system of inequalities.

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Is $(4,\,6)$ a solution to this system of inequalities? $\newline$ y < 7x + 7 $\newline$ y > x + 1 $\newline$ 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

(4,\,6)

a solution to this system of inequalities?

\newline

y < 7x + 7

\newline

y > x + 1

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(4, 6)$ : Does the point $(4, 6)$ satisfy the inequality y < 7x + 7? $\newline$ Substitute $x = 4$ and $y = 6$ into the inequality y < 7x + 7. $\newline$ 6 < 7(4) + 7 $\newline$ 6 < 28 + 7 $\newline$ 6 < 35 $\newline$ The point $(4, 6)$ satisfies the inequality y < 7x + 7.
Verify Inequality y < 7x + 7: Does the point $(4, 6)$ satisfy the inequality y > x + 1? $\newline$ Substitute $x = 4$ and $y = 6$ into the inequality y > x + 1. $\newline$ 6 > 4 + 1 $\newline$ 6 > 5 $\newline$ The point $(4, 6)$ satisfies the inequality y > x + 1.
Check Point $4, 6$ : Is $4, 6$ a solution to the system of inequalities? $\newline$ Since $4, 6$ satisfies both inequalities y < 7x + 7 and y > x + 1, it is a solution to the system of inequalities.