Question

Sketch the graph of region of the set $\left\{\left(x,y\right)\right\}|x\ge 2ory\ge 2$.

Short answer

The graph is shown below.

Step-by-step solution

Step 1. Analyze the given set.

The given set is which states that the region belongs to $\left\{\left(x,y\right)\right\}|x\ge 2\mathrm{or}y\ge 2$

$\begin{array}{c}\left\{\left(x,y\right)\right\}|x\ge 2\mathrm{or}y\ge 2\\ \mathrm{i}.\mathrm{e}.x\ge 2\cup y\ge 2....\left(1\right)\end{array}$

Step 2. Sketch the graph with the help of (1).

The graph obtained with the help of (1) is shown below.

Step 3. DESCRIPTION OF STEPS.

From the graph it can be interpreted that the region which belongs to green and blue region belongs to solution set, whereas the white region doesn’t belong to solution set.