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Is $(4,\,6)$ a solution to this system of inequalities? $\newline$ $y \leq x + 2$ $\newline$ $y \leq 6$ $\newline$ 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

(4,\,6)

a solution to this system of inequalities?

\newline

y \leq x + 2

\newline

y \leq 6

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $4, 6$ satisfies the first inequality $y \leq x + 2$ . $\newline$ Substitute $x = 4$ and $y = 6$ into the inequality. $\newline$ $6 \leq 4 + 2$ $\newline$ $6 \leq 6$ $\newline$ This is true, so $4, 6$ satisfies the first inequality.
Check Second Inequality: Check if $(4, 6)$ satisfies the second inequality $y \leq 6$ . $\newline$ Substitute $y = 6$ into the inequality. $\newline$ $6 \leq 6$ $\newline$ This is also true, so $(4, 6)$ satisfies the second inequality.
Solution Verification: Since $(4, 6)$ satisfies both inequalities, it is a solution to the system of inequalities.

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