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shanazky · Apr 19, 2009, 06:33 PM

solve |2x-4| < 10

Perito · Apr 19, 2009, 08:40 PM

Solve this for X:

$2x - 4 = 10$

except for each operation where you multiply or divide by a negative number, change ">" to "<" and vice-versa. Once you have your solution, you can put it on a graph.

Basically, you'll get a vertical line (x=7). One side of the line will satisify the inequality, the other side will not. Since the inequality shows a "<" sign, the line, itself, will not satisify the inequality.

Unknown008 · Apr 20, 2009, 07:53 AM

If you want to know the shape of the graph, try sketching it. You can deal with your question as if it had the 'definition' : What is the region where y = |2x-4| is 'below' y = 10 (< is for below, > is for above)

I'll post the graph so that you can see it.

Then, state the range for x where y = |2x-4| is 'below' y = 10