Question

Sketch the graph of region of the set $\left\{\left(x,y\right)\right\}\mathbf{|}\mathbf{-}\mathbf{4}\mathbf{<}\mathbf{x}\mathbf{<}\mathbf{4}\mathbf{and}\mathbf{-}\mathbf{2}\mathbf{<}\mathbf{y}\mathbf{<}\mathbf{2}$.

Short answer

The graph is shown below.

Step-by-step solution

Step 1. Analyze the given set.

The given set is $\left\{\left(x,y\right)\right\}|-4<x<4and-2<y<2$which states that the region belongs to

$\begin{array}{c}-4<x<4and-2<y<2\\ i.e.-4<x<4\cap -2<y<\mathrm{2....}\left(1\right)\end{array}$

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 ABCDA represents the common region subject to condition (1).