Question

Which graph represents the solution set of the system of inequalities?

{−2x+y≤4
y>x+2

Answer 1

I would say that it is b

Answer 2

The correct graph is:

First graph

Explanation:

The first inequality is:

`-2x+y\leq 4`

The graph of this inequality is a straight solid line ( since the inequality is a inequality with a equality sign i.e. not strict ) which passes through (-2,0) and (0,4) and the shaded region is towards the origin as it passes the zero point test.

The second inequality is:

`y>x+2`

is a dotted straight line (since the inequality is strict) which passes through (-2,0) and (0,2) and the shaded region is away from the origin as it fails the zero point test.

Hence, the correct graph is the first graph.