Chapter 3: Q41. (page 140)

Graph the inequality as given below:
$x > - 1 & x \leq 4$

Short Answer

Expert verified

The graph of the inequality is given below:

Step by step solution

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.

Step -2 –Drawing the graph by explaining the statement

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

Step- 3 – Make the expression of the inequality

Now, the final inequality by seeing the above step is

$- 1 \leq x \leq 4$

Graphical Interpretation

Following is the graph of the expression $- 1 \leq x \leq 4$ to get the proper graphical representation to know the points.

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Graph the inequality as given below:
$x > - 1 & x \leq 4$

Short Answer

Step by step solution

Step -1 - Apply the concept of Linear inequalities

Step -2 –Drawing the graph by explaining the statement

Step- 3 – Make the expression of the inequality

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Graph the inequality as given below:x>-1&x≤4

Short Answer

Step by step solution

Step -1 - Apply the concept of Linear inequalities

Step -2 –Drawing the graph by explaining the statement

Step- 3 – Make the expression of the inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Decision Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Graph the inequality as given below:
$x > - 1 & x \leq 4$