Is (3, 2) a solution to this system of inequalities? 4x + y > 14 15x + 12y > 11 Choices: (A)yes (B)no

Check Point (3, 2): Does the point (3, 2) satisfy the inequality 4x + y > 14? Substitute x = 3 and y = 2 into the inequality 4x + y > 14. 4(3) + 2 > 14 12 + 2 > 14 14 > 14 The point (3, 2) does not satisfy the inequality 4x + y > 14 because 14 is not greater than 14.Substitute into First Inequality: Since the point (3, 2) does not satisfy the first inequality, there is no need to check the second inequality. The point must satisfy both inequalities to be a solution to the system, and it already fails to satisfy the first one.

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Is $(3,\,2)$ a solution to this system of inequalities? $\newline$ 4x + y > 14 $\newline$ 15x + 12y > 11 $\newline$ 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,\,2)

a solution to this system of inequalities?

\newline

4x + y > 14

\newline

15x + 12y > 11

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(3, 2)$ : Does the point $(3, 2)$ satisfy the inequality 4x + y > 14? $\newline$ Substitute $x = 3$ and $y = 2$ into the inequality 4x + y > 14. $\newline$ 4(3) + 2 > 14 $\newline$ 12 + 2 > 14 $\newline$ 14 > 14 $\newline$ The point $(3, 2)$ does not satisfy the inequality 4x + y > 14 because $(3, 2)$ $1$ is not greater than $(3, 2)$ $1$ .
Substitute into First Inequality: Since the point $(3, 2)$ does not satisfy the first inequality, there is no need to check the second inequality. The point must satisfy both inequalities to be a solution to the system, and it already fails to satisfy the first one.