Base case: For , the left side is 2 and the right is
, so the base case holds.
Induction hypothesis: Assume the statement is true for , that is
We want to show that this implies truth for , that
The first terms on the left reduce according to the assumption above, and we can simplify the
-th term a bit:
so the statement is true for all .
Answer:
The solution is:
The number line graph of the solution is also attached below.
From the graph, it is clear that the 2nd number line represents the solution set for the inequality.
Step-by-step explanation:
Given the inequality
Let us solve the inequality
Multiply both sides by -1 (reverse the inequality)
Simplify
Multiply both sides by 2
Simplify
Thus, the solution is:
The number line graph of the solution is also attached below.
From the graph, it is clear that the 2nd number line represents the solution set for the inequality.
