Show Intervals on Number Line?
The set of real numbers satisfying the given inequality is one or more intervals on the number line. Show the intervals on a number line.
(1) |x - 4| < 4
(2) |x - 1| less than or equal 1/2
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1.
-4 < x - 4 < 4
-4 + 4 < x < 4 + 4
0 < x < 8
Put open circles on 0 and 8, and shade everything in between.
2.
|x - 1| <= 1/2
-1/2 <= x - 1 <= 1/2
-(1/2) + 1 <= x <= (1/2) + 1
0.5 <= x <= 1.5
Put closed circles on 0.5 and 1.5, and shade everything in between.