Example of absolute value inequalities, Algebra

Solve following.

2 x - 4 = 10

Solution

There actually isn't much to do other than plug into the formula. As with equations p merely represents whatever is within the absolute value bars. Thus, with this first one we have,

-10 + 2x - 4= 10

Now, it is nothing more than a fairly simple double inequality to solve thus let's do that.

-6 < 2 x < 14

-3 < x < 7

The interval notation for this solution is ( -3, 7 ) .

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