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{:[7x-9y < 5],[-2x+4y > 5]:}
Is
(3,5) a solution of the system?
Choose 1 answer:
(A) Yes
(B) No

$\begin{array}{l} 7 x-9 y<5 \\ -2 x+4 y>5 \end{array}$ $\newline$ Is $(3,5)$ a solution of the system? $\newline$ Choose $1$ answer: $\newline$ (A) Yes $\newline$ (B) No

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Set-builder notation

Full solution

Q.

\begin{array}{l} 7 x-9 y<5 \\ -2 x+4 y>5 \end{array}

\newline

Is

(3,5)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Plug in values: Plug in $x=3$ and $y=5$ into the first inequality $7x - 9y < 5$ . $\newline$ Calculation: $7(3) - 9(5) = 21 - 45 = -24$ . $\newline$ Check if $-24 < 5$ .
Check first inequality: Since $-24$ is less than $5$ , $(3,5)$ satisfies the first inequality.
Plug in values: Now plug in $x=3$ and $y=5$ into the second inequality $-2x + 4y > 5$ . $\newline$ Calculation: $-2(3) + 4(5) = -6 + 20 = 14$ . $\newline$ Check if $14 > 5$ .
Check second inequality: Since $14$ is greater than $5$ , $(3,5)$ also satisfies the second inequality.

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