SOLUTION: Solve the conjunction -2 < a + 3

SOLUTION: Solve the conjunction -2 < a + 3 < 8 and graph its solution.

Question 190006This question is from textbook Structure and Method Book 1
: Solve the conjunction -2 < a + 3 < 8 and graph its solution. This question is from textbook Structure and Method Book 1

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given compound inequality.

Subtract from all sides.

Combine like terms on the left side.

Combine like terms on the right side.

So our answer is

So the answer in interval notation is (

)

Also, answer in set-builder notation is

Here's the graph of the solution set

Graph of the solution set

Note:
There is an open circle at which means that we're excluding this value from the solution set
Also, there is an open circle at which means that we're excluding this value from the solution set.
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