SOLUTION: abs |2x-1| + 1 < 6
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Question 178221This question is from textbook
: abs |2x-1| + 1 < 6
This question is from textbook
Found 2 solutions by Lj, jim_thompson5910:
Answer by Lj(2) (Show Source): You can put this solution on YOUR website!
Basically, absolute value is always positive. It means how many the value is from zero.
To solve this equation, we isolate the variable.
|2x-1|<5
Then find the absolute value of -1, which is one. Then use opposite operations to isolate the variable completly.
Then divide by two.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality
Subtract 1 from both sides.
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
Add 1 to all sides
Divide all sides by 2 to isolate x
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Answer:
So our answer is
which looks like this in interval notation
)
if you wanted to graph the solution set on a number line, you would get
Graph of the solution set in blue and the excluded values represented by open circles
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