Question

How do you graph the system `y>= x+2` and `y> 2x+3`?

Answer 1

`y≥x+2` and `y>2x+3` is true when you are inside the darker area except on the dotted line.

Explanation:

To respect conditions, you need to respect each of them.

Step 1 : Make a graph of all the points who is respecting `y≥x+2`

All the blue area regards the first condition.
Example : The point A(0,4) respects `y≥x+2` because `4 ≥ 0+2`

Step 2 : Do the same thing on the same graph with `y>2x+3`
Be careful we have a ">" and not "≥" i.e : If a point is on the linear equation : "y = 2x+3" (the dotted line) it won't respect the 2nd condition.

Then we have this result :

A(0;4) is in the darker area <=> A respect `y≥x+2` and `y>2x+3`

`-> color(green)(4>=0+2)`
`-> color(green)(4>=2*0+3)`

Note : Sorry for my English ;)