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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.

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 class=

Sagot :

Given:

[tex]\begin{gathered} y4 \end{gathered}[/tex]

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

[tex]\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}[/tex]

Plot the graph as shown below

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

View image BarbaraY315136
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