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Given:
The system of inequalities is:
To find:
The graph of the given system of inequalities.
Solution:
We have,
The related equations are:
Table of values for the given equations is:
0 1 -3
3 0 3
Plot (0,1) and (3,0) and connect them by a straight line to get the graph of .
Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of .
The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.
Therefore, the graph of the given system of inequalities is shown below.
Answer:
The first 3 terms of the sequence are:
Step-by-step explanation:
Given the sequence
Here represents any term number in the sequence
Determining the first term
substitute n = 1 in the sequence to determine the first term
Determining the 2nd term
substitute n = 2 in the sequence to determine the 2nd term
Determining the 3rd term
substitute n = 3 in the sequence to determine the 3rd term
Therefore, the first 3 terms of the sequence are: