Solve.Absolute value of 2x+4 is greater than 6

usagirl007A 2021-03-06 Answered

Solve.
Absolute value of 2x+4 is greater than 6

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Expert Answer

hosentak
Answered 2021-03-07 Author has 100 answers

Step 1
We need to solve the absolute value inequality.
|2x+4|>6
Step 2
Firstly we discuss the rules of absolute value inequalities.
Here the steps :
Step 1: Isolate the absolute value on left hand side.
Step 2: Remove the absolute value sign.
Step 3: For greater than sign:
Quantity inside the absolute value < - (Number on other side)
OR
Quantity inside the absolute value > (Number on other side)
Step 3
|2x+4|>6
2x+4<6
2x<64
2x<10
x<5
Or
2x+4>6
2x>64
2x>2
x>1
Step 4
So, final answer is:
x<5
Or
x>1

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Jeffrey Jordon
Answered 2021-11-11 Author has 2027 answers

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