Solving [tex]|h-3|>5[/tex] we get [tex]h<-2\,\,or\,\,h>8[/tex]
Step-by-step explanation:
We need to find solution set for [tex]|h-3|>5[/tex]
Solving:
[tex]|h-3|>5[/tex]
Applying absolute rule if |u|>a then u<-a or u>a
[tex]h-3<-5\,\,or\,\,h-3>5[/tex]
Simplifying:
[tex]h<-5+3\,\,or\,\,h>5+3[/tex]
[tex]h<-2\,\,or\,\,h>8[/tex]
The value of h is less than -2 or greater than 8
So, the number line is shown in the figure attached.
Keywords: Solving inequalities
Learn more about Solving inequalities at:
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