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6|9b-1|-4 > 2 Solve each inequality and graph its solution. Thanks!
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6|9b-1|-4 > 2 ====> add 4 to both sides ====>
6|9b-1| > 6 ====> divide both sides by 6 ====>
|9b-1| > 1 ====> is equivalent to
> 1 ====> divide both sides by 9 ====>
> .
The solution for the last inequality are ALL THOSE x that are remoted farther than from the point b = .
In other words, the solution set is the union of two semi-infinite intervals b < 0 and b > .
Answer. The solution set is the union of two semi-infinite intervals b < 0 and b > ,
or, in the interval form, the union (,) U (,).
Solved.
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On solving inequalities, see introductory lessons
- Solving simple and simplest linear inequalities
- Solving absolute value inequalities (*)
in this site. Especially lesson (*) of these two.
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Be aware ! : The solution by @josgarithmetic is W R O N G.