How do you solve #|3h - 3| < 12#?
2 Answers
Explanation:
#\therefore|3h-3|\lt12# means#-12\lt3h-3\lt12#
Let's isolate the term with variable (#3h# ).
#-12\color(red)(+3)\lt3h-3\color(red)(+3)\lt12\color(red)(+3)#
#-9\lt3h\lt15# Now we will isolate the variable (
#h# ).
#-9\color(blue)(\div3)\lt3h\color(blue)(\div3)\lt15\color(blue)(\div3)#
And so your answer is...
Explanation:
We have,
Now, consider the case
Think this expression as ”X such that, its distance from a is less than b”
You can take help of the number line also to apply this statement.
So as per the question, it should be ”x such that its distance from 1 should be less than 4”
If you take the help of the number line, you will find that there will be two critical points
Since distance is less than 4, condition on x will be :-
Hence the answer.
Hope it helps :)