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Chapter 3: Q41. (page 140)

Graph the inequality as given below:

x>-1&x鈮�4

Short Answer

Expert verified

The graph of the inequality is given below:

Step by step solution

01

Step -1 - Apply the concept of Linear inequalities

In this type of question, Simply use the concept of understanding the question very carefully and draw a graph by plotting both inequality in same graphand keep something in mind that there would be closed and open interval so mark according in graph.

02

Step -2 –Drawing the graph by explaining the statement

Now, to plot the graph of the inequality, in the first equation x鈮�-1, x is greater than or equal to -1 so, there will be a closed interval at -1. Again, in second equation x鈮�4, x is smaller than or equal to 4 so, there will be closed interval at 4.

03

Step- 3 – Make the expression of the inequality

Now, the final inequality by seeing the above step is

-1鈮�x鈮�4

Graphical Interpretation

Following is the graph of the expression -1鈮�x鈮�4 to get the proper graphical representation to know the points.

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