Question

Which ordered pair is a solution to the system of inequalities? y 2-X + 2 y> x-5

Answer 1

A(3,2)

Explanation

$\begin{gathered} y\ge-x+2 \\ y>x-5 \end{gathered}$

to find this replace each pair in the inequalities and check if it is tru

Step 1

A(3,2)

$\begin{gathered} y\ge-x+2 \\ 2\ge-3+2 \\ 2\ge-1,\text{ true} \\ and \\ y>x-5 \\ 2>3-5 \\ 2>-2,\text{true} \end{gathered}$

Step 2

B(-5,-2)

$\begin{gathered} y\ge-x+2 \\ -2\ge-(-5)+2 \\ -2\ge5+2 \\ -2\ge7\text{ False} \end{gathered}$

Step 3

C(0,0)

$\begin{gathered} y\ge-x+2 \\ 0\ge-0+2 \\ 0\ge2,false \end{gathered}$

Step 4

D(-1,1)

$\begin{gathered} y\ge-x+2 \\ 1\ge-(-1)+2 \\ 1\ge1+2 \\ 1\ge3,false \end{gathered}$

so, the answer is A(3,2)