Question

Graph each pair of inequalities and indicate the solution set of the system with Cross hatching or shading. The cross hatching or shading, if extended would cover a set of three letters.

Answer 1

Given:

$\begin{gathered} y4 \end{gathered}$

To graph each pair of inequalities and indicate the solution set with cross hatching or shading

Solution

Determine the x and y intrcept of each of the given ineqiualities

$\begin{gathered} y4 \\ 3x+2y=4 \\ y-intercept,make,x=0 \\ 3(0)+2y=4 \\ 2y=4 \\ y=\frac{4}{2}=2 \\ Coordinateof\text{ the y-intercept}:(0,2) \\ x-intercept,make,y=0 \\ 3x+2(0)=4 \\ 3x=4 \\ x=\frac{4}{3} \\ Coordinate\text{ of the x-intercept}:(\frac{4}{3},0) \end{gathered}$

Plot the graph as shown below

It can be observed that the solution set is unbounded, as shown by the cross hatching