$S$ is the set of all $(x_{1},x_{2}) \in \mathbb{R} \times \mathbb{R}$ with $x_{1}+x_{2} \geq 3$ and $-x_{1}+2x_{2}=6$
Write the set S and draw it.
$$S=\{(x_1,x_2)\in \mathbb R\times \mathbb R\mid x_1+x_2\geq 3 \text{ and } -x_1+2x_2=6\}$$
Okay I have the set and now I have to draw this set. I only need to know explanation how to do it.
So I would just form $-x_{1}+2x_{2}=6$ to $x_{1}=2x_{2}-6$ and draw this linear function.
But what about the inequality? Calculate values $x_{1}$ and $x_{2}$ then also just draw it and mark the areas that are defined?
Is the idea correct how I plan to do it?