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Is $(1,\,1)$ a solution to this system of inequalities? $\newline$ $2x + 15y \leq 17$ $\newline$ x + 3y < 20 $\newline$ 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,\,1)

a solution to this system of inequalities?

\newline

2x + 15y \leq 17

\newline

x + 3y < 20

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(1, 1)$ satisfies the first inequality $2x + 15y \leq 17$ . Substitute $x = 1$ and $y = 1$ . $2(1) + 15(1) \leq 17$ $2 + 15 \leq 17$ $17 \leq 17$ This is true, so $(1, 1)$ satisfies the first inequality.
Check Second Inequality: Check if $(1, 1)$ satisfies the second inequality x + 3y < 20. Substitute $x = 1$ and $y = 1$ . 1 + 3(1) < 20 1 + 3 < 20 4 < 20 This is true, so $(1, 1)$ satisfies the second inequality.
Solution Verification: Since $(1, 1)$ satisfies both inequalities, it is a solution to the system.

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