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

(1,\,7)

a solution to this system of inequalities?

\newline

y \leq x + 6

\newline

y < 6x + 4

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point Inequality: Check if the point $(1, 7)$ satisfies the inequality $y \leq x + 6$ . $\newline$ Substitute $x = 1$ and $y = 7$ into the inequality. $\newline$ $7 \leq 1 + 6$ $\newline$ $7 \leq 7$ $\newline$ Since $7$ is equal to $7$ , the inequality holds true.
Check Point Inequality: Check if the point $(1, 7)$ satisfies the inequality y < 6x + 4. Substitute $x = 1$ and $y = 7$ into the inequality. 7 < 6(1) + 4 7 < 6 + 4 7 < 10 Since $7$ is less than $10$ , the inequality holds true.
Determine Solution: Determine if $(1, 7)$ is a solution to the system of inequalities. $\newline$ Since the point $(1, 7)$ satisfies both inequalities $y \leq x + 6$ and y < 6x + 4, it is a solution to the system of inequalities.

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