Question

Graph the inequality as given below:

$x>-1\&x\le 4$

Short answer

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 $x\ge -1$, x is greater than or equal to $-1$ so, there will be a closed interval at $-1$. Again, in second equation $x\le 4$, 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

$-1\le x\le 4$

Graphical Interpretation

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