Question

Solve the system of inequalities by graphing.
Y<2x+5
2x-y< 3

Answer 1

Start by drawing those lines of yours. That should always be your very first step when doing this question graphically.

Answer 2

Now use the origin, which has coordinates (0,0) and sub the values of y and x into each equation.

Answer 3

So when you sub (0,0) into this equation.
\[y<2x+5\]
It becomes \[0<2(0)+5\]

Answer 4

Now tell me whether that inequality is true when you sub in the origin (0,0)?

Answer 5

I say the word "true" as in, does the inequality work. so if you end up with 1>0, then that means its true because 1 IS definitely grater than 0.

Answer 6

greater*

Answer 7

@rachy