SOLUTION: Write solutions in Interval notation Absolute value of 7x-8 which is >-3

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Question 437310: Write solutions in Interval notation
Absolute value of 7x-8 which is >-3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given inequality
abs%287x-8%29+%3E-3
Break up the absolute value inequality using the given rule
7x-8+%3E-3 or -%287x-8%29+%3E-3
Now lets do the first inequality
7x-8+%3E-3
7x+%3E-3%2B8
7x+%3E5
x+%3E5%2F7
x+%3E0.7
Now lets do the second inequality
-%287x-8%29+%3E-3
-7x%2B8+%3E-3
-7x+%3E-3-8
-7x+%3E-11..........both sides multiply by -1
7x+%3C11
x+%3C11%2F7
x+%3C1.6
So our answer is

x+%3C1.6 or x+%3E0.7
in interval notation
(-infinity, 1.6) U (0.7,infinity)