SOLUTION: Solve the inequality (x+3)^1/2 > x-1.Show also the graph.

Question 935604: Solve the inequality (x+3)^1/2 > x-1.Show also the graph.
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!

or

Answer by josgarithmetic(39800) (Show Source): You can put this solution on YOUR website!
The given inequality has the square root restriction that , and further arithmetic with steps (starts with squaring both sides) that lead to gives two further critical values for x:

Using general solution for a quadratic equation:
Roots and .
Those are near and .

If you will check the intervals and find truth or falseness of the GIVEN inequality, find like this:

INTERVAL________________INEQUALITY?
_____________TRUE
________TRUE
_______________FALSE

Graph should be like this:

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