Show Interval(s) On Real Number Line

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Can you do 56 and 60 in step by step fashion? Thank you.


Screenshot_20220106-201101_Samsung Notes.jpg
 
56.
|x-1| <=1/2 -> abs value means the number or expression inside could be positive or negative

so, if positive:
x-1<=1/2
x<=1/2+1
x<=1.5

if negative:
-(x-1)<=1/2
-x+1<=1/2
-1/2+1<=x
x>=1/2

same way you do 60
 
56.
|x-1| <=1/2 -> abs value means the number or expression inside could be positive or negative

so, if positive:
x-1<=1/2
x<=1/2+1
x<=1.5

if negative:
-(x-1)<=1/2
-x+1<=1/2
-1/2+1<=x
x>=1/2

same way you do 60

Piece of cake.
 

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