Question

Which of the following would be a solution to the system of inequalities below? < > 2 y 5 2x + y > 6 O (3,5) 0 (3,0) O (3, 2) O ( 3-1) I give you a picture for this one

Answer 1

Solution

Given the following:

$\begin{cases}x>2 \\ y<5 \\ 2x+y>6\end{cases}$

when x is greater than 2

$x=3,4,5,\ldots\ldots$

when y is less than 5

$y=0,1,2,3,4,\ldots\ldots$

Therefore the best option is when x = 3 and y = 2

$\begin{gathered} x=3,y=2 \\ 2x+y>6 \\ 2(3)+2=8 \\ 8>6 \end{gathered}$

it is correct because 8 is greater than 6

Therefore the best option is (3, 2)

Hence the correct answer is Option C