Question

Y>-3x +3
y≥ 2x-2
O (1,0)
O (-1,1)
O(2,2)
(0,3)

Answer 1

(1,0)

Explanation:

y>-3x +3

y≥ 2x-2

If we plot these two inequalities, we can see where the lines intersect, See attached graph.

They intersect at (1,0)

We can also do this mathematically:

y>-3x +3

- (y≥ 2x-2)

0
`\geq` -5x + 5

5x
`\geq` 5

x
`\geq` 1

If x = 1:

y≥ 2x-2

y≥ 2(1)-2

y≥ 0

(x,y) = (1,0)