Question

What graph represents the inequality y≥2−2x?

Answer 1

`y\geq2-2x\\\\\text{Let's the line}\ y=2-2x\\\\for\ x=0\to y=2-2(0)=2\to(0,\ 2)\\for\ x=1\to y=2-2(1)=0\to(1,\ 0)`

`\text{draw a line and shade above the line}\\\\\text{Look at the picture}`

Answer 2

Graph is attached below

Explanation:

To graph the given inequality , replace the inequality sign by = sign

y≥2−2x

y=2−2x

Now make a table , assume some random number for x and find out y

x y=2-2x

0 2

1 0

2 -2

Now graph all the points (0,2) (1,0) (2,-2)

Now we do shading. For shading use test point (0,0)

plug in 0 for x and 0 for y

`y\geq 2-2x`

`0\geq 2-2(0)`

`0\geq 2` is false

So shade the region that does not contain (0,0)

The graph is attached below