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5 votes
What is the solution set |x-3| >4

User Niventh
by
7.3k points

1 Answer

5 votes

Answer:


\begin{bmatrix}\mathrm{Solution:}\:&amp;\:x<-1\quad \mathrm{or}\quad \:x>7\:\\ \:\mathrm{Interval\:Notation:}&amp;\:\left(-\infty \:,\:-1\right)\cup \left(7,\:\infty \:\right)\end{bmatrix}

Explanation:

apply the rule of absolute values: it means that x - 3 < - 4 or x - 3 > 4

solve each one:

x - 3 < -4 , x < -1

x - 3 > 4, x > 7

combine both answer sets

User Dcool
by
6.2k points
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