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# Modulus inequality

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1. Find the range of values such that the inequality

holds.

It's a bit of an awkward question.
2. (Original post by Ano123)
Find the range of values such that the inequality

holds.

It's a bit of an awkward question.
Pretty straight forward if you draw a graph. What about it?
3. (Original post by RDKGames)
Pretty straight forward if you draw a graph. What about it?
4. (Original post by Ano123)
draw the graph
find the solution(s)
look at the range between/out of these solution(s) using the graph and bam u got yourself an answer
5. (Original post by Ano123)
Draw both sides as separate functions on the same axis
6. (Original post by Ano123)
Something like this.

Posted from TSR Mobile
7. (Original post by Ano123)
Find the range of values such that the inequality

holds.

It's a bit of an awkward question.
Consider the various cases. Firstly when x>0, then |2^x - 3| < 2^(-x) so if x>log2(3) then 2^x-3<2^(-x) and if 0<x<log2(3) then 3-2^x<2^(-x). Both of these are disguised quadratics, so you should be able to continue from here.

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