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Is $(3,\,6)$ a solution to this system of inequalities? $\newline$ $y \leq x + 7$ $\newline$ x < 4 $\newline$ 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

(3,\,6)

a solution to this system of inequalities?

\newline

y \leq x + 7

\newline

x < 4

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Inequality: Does the point $(3, 6)$ satisfy the inequality $y \leq x + 7$ ? $\newline$ Substitute $3$ for $x$ and $6$ for $y$ in $y \leq x + 7$ . $\newline$ $6 \leq 3 + 7$ $\newline$ $6 \leq 10$ $\newline$ Since $6 \leq 10$ is true, $(3, 6)$ satisfies $y \leq x + 7$ .
Substitute Values: Does the point $(3, 6)$ satisfy the inequality x < 4? $\newline$ Substitute $3$ for $x$ in x < 4. $\newline$ 3 < 4 $\newline$ Since 3 < 4 is true, $(3, 6)$ satisfies x < 4.
Verify Solution: Is $(3, 6)$ a solution to the system of inequalities? $\newline$ Since $(3, 6)$ satisfies both $y \leq x + 7$ and x < 4, it is a solution to the system of inequalities.

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