SOLUTION: Solve each inequality. Graph the solutions. 5|2b+1|-3< 7 - the

SOLUTION: Solve each inequality. Graph the solutions. 5|2b+1|-3< 7 - the < is like 7 is greater than or equal to -

Question 158239: Solve each inequality. Graph the solutions.
5|2b+1|-3< 7
-
the < is like 7 is greater than or equal to
-
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality

Add 3 to both sides.

Divide both sides by 5

Break up the absolute value (remember, if you have , then and )

and Break up the absolute value inequality using the given rule

Combine the two inequalities to get a compound inequality

Subtract 1 from all sides

Divide all sides by 2 to isolate b

----------------------------------------------------

Answer:

So our answer is

So the answer in interval notation is [

]

and the answer in set-builder notation is

Here's the graph of the solution set

Graph of the solution set

Note:
There is a closed circle at which means that we're including this value in the solution set
Also, there is a closed circle at which means that we're including this value in the solution set.
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