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Is $(1,\,3)$ a solution to this system of inequalities? $\newline$ x < 4 $\newline$ 15x + y < 19 $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Is (x, y) a solution to the system of linear inequalities?

Full solution

Q. Is

(1,\,3)

a solution to this system of inequalities?

\newline

x < 4

\newline

15x + y < 19

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $1, 3$ : Does the point $1, 3$ satisfy the inequality x < 4? $\newline$ Substitute $1$ for $x$ in x < 4. $\newline$ 1 < 4 $\newline$ Since 1 < 4 is true, $1, 3$ satisfies x < 4.
Evaluate Inequality 15x + y < 19: Does the point $(1, 3)$ satisfy the inequality 15x + y < 19? $\newline$ Substitute $1$ for $x$ and $3$ for $y$ in 15x + y < 19. $\newline$ 15(1) + 3 < 19 $\newline$ 15 + 3 < 19 $\newline$ $(1, 3)$ $0$ $\newline$ Since $(1, 3)$ $0$ is true, $(1, 3)$ satisfies 15x + y < 19.
Verify Solution to System: Is $(1, 3)$ a solution to the system of inequalities? $\newline$ Since $(1, 3)$ satisfies both inequalities x < 4 and 15x + y < 19, it is a solution to the system of inequalities.

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