#inequalities anx mathsss

1. 6.1 6.2 Inequalities
> < < > =
>

2. Objective:
Solve and graph
inequalities

3. Graphing a linear Equality
with one variable…..
x = 3
Notice
the
circle is
closed.

4. Graphing a linear
inequality with one
variable…..
x < 4
Notice
the
circle is
open

5. Graphing an Inequality
with one variable…..
x > -3
Notice
the
circle is
closed

6. p + 6 > 4
- 6 - 6
p > -2
Solving an inequality

7. Graph x < -3
What numbers make
this true?
-8, -100

8. -3 < x - 2
+2 +2
-1 < x
Same as
x > -1
-1 0
-1 is less
than
what #’s?

9. 4x - 3 > x + 6
-x -x
3x - 3 > 6
+3 +3
3x > 9
X > 3

10. Solve
- 4 < 3x + 1
-4 -1 < 3x + 1 - 1
-5 < 3x
-5/3 < 3x/3
-5/3 < x

11. 3 > x same as x < 3
x < 4

12. Solving a linear Inequality
-x < 4
-x/-1 < 4/-1
x -4
>
The sign flips
when you multiply
or divide by a
negative.

13. Solve
n > 4
-3
n > 4
-3
(-3) (-3)
<
n < - 12
Check
your
answer.
-21 < -12
-21
7

14. 2n + 5 > 0
- 5 -5
2n > -5
__ __
2 2
n > -5/2

15. Thought for the day:
You can’t run away
from your conscience.