Show Interval(s) On Real Number Line

[nycmathguy]

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

 

[MathLover1]

56.

60.

 

[nycmathguy]

56.

60.

What is the algebraic way to do solve 56 and 60?

 

[MathLover1]

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

 

[nycmathguy]

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.