Question

What is the solution of |x – 2| > –3? Explain.

Answer 1

simply solve for x in

x - 2 > - 3

and

x - 2 < 3

got it?

Answer 2

as we don't know that the value of x is negative or positive so the ans will come both in positive & negative:)

Answer 3

x=3
because that is the minimum value to avoid negative sign in mod function
basic !

Answer 4

x=-3+2=-1
-x=-3+2=-1
x=-(-1)=1

Answer 5

When ever you have an inequality like this it's always best to rewrite it as such:
\[-3 < x-2 < 3\]
Then just solve for x by subtracting two from everywhere in the inequality.

Note: when multiplying by a negative, it will switch the inequality signs.

Answer 6

Thank you guys!

Answer 7

Please close the question :)