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

(6,\,7)

a solution to this system of inequalities?

\newline

x \leq 6

\newline

y \geq x + 1

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check $x \leq 6$ : Check if the point $(6, 7)$ satisfies the inequality $x \leq 6$ . $\newline$ Substitute $6$ for $x$ . $\newline$ $6 \leq 6$ $\newline$ Since $6$ is equal to $6$ , the inequality holds true.
Check $y \geq x + 1$ : Check if the point $(6, 7)$ satisfies the inequality $y \geq x + 1$ . $\newline$ Substitute $6$ for $x$ and $7$ for $y$ . $\newline$ $7 \geq 6 + 1$ $\newline$ $7 \geq 7$ $\newline$ Since $7$ is equal to $7$ , the inequality also holds true.
Determine solution: Determine if $(6, 7)$ is a solution to the system of inequalities. $\newline$ Since $(6, 7)$ satisfies both inequalities $x \leq 6$ and $y \geq x + 1$ , it is a solution to the system of inequalities.

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