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Is $(4,\ 10)$ a solution to this system of inequalities? $\newline$ $y \geq x + 6$ $\newline$ $y \geq 2x + 1$ $\newline$ 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

(4,\ 10)

a solution to this system of inequalities?

\newline

y \geq x + 6

\newline

y \geq 2x + 1

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Solution for $(4, 10)$ : Check if $(4, 10)$ satisfies $y \geq x + 6$ . $\newline$ Substitute $x = 4$ and $y = 10$ . $\newline$ $10 \geq 4 + 6$ $\newline$ $10 \geq 10$ $\newline$ This is true.
Check Solution for $4, 10$ : Check if $4, 10$ satisfies $y \geq 2x + 1$ . $\newline$ Substitute $x = 4$ and $y = 10$ . $\newline$ $10 \geq 2(4) + 1$ $\newline$ $10 \geq 8 + 1$ $\newline$ $10 \geq 9$ $\newline$ This is true.

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