1. Copyright 2013 Davitily

2. Graph an Inequality With a Radical
Step 1:
Find the domain.
Step 2:
Setup a table with nice x values within the domain.
The domain is 1 to ∞
Step 1:
Find the domain.
Step 2:
Setup a table with
nice x values within
the domain. Treat
the inequality sign
as if it was an equal
sign while substituting.
The more points,
the better. x y 1 2
3.41 3 4
4.45 5
4.83 9 6
To find the domain, you have
to figure out what values of x
you can use such that you
won't get an undefined answer.
In this problem, once x gets
smaller than 1, we get a negative
under the root. Therefore, the
domain is 0 to infinity.

3. Graph an Inequality With a Radical
No equals line here
Step 3:
Plot your points. Then connect them.
Step 4:
Substitute a point that is above or under the curve. If the inequality is true, then shade the region the point is in, otherwise shade the other region.
Step 3:
Plot your points. Then
connect them. If there is no
"equals" part to the inequality
sign, make the line dashed. If
there is an "equals” part, make
it solid.
(5,3) is under
the curve
3> 2 5 −2 +2
3> 10−2 +2
3> 8 +2
3>2.83+2
Step 4:
Substitute a point that is above or under the curve. If the inequality is true, then shade the region the point is in, otherwise shade the other region.
3>4.83 x y 1 2
3.41 3 4
4.45 5
4.83 9 6

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