1. Aim: How do we solve first degree equations and inequalities?
Do Now: Solve and Check

2. Solve for x:
1. (2x + 1) +( 4 – 3x) = 10
2. 2(x – 3) + 3(x + 4) = x + 14
3. 4x(x + 2) – x(3 + 4x) = 2x + 18

3. Solve and graph: 1) 2)

4. Solve and graph
reverse -3 -2

5. Solve and graph the inequalities.3) 4)

6. Solve and graph. 5) 6)

7. Interval Notation a b x b a x a b x a b x [ a, b ] a  x  b Closed [
Interval Inequality
Notation Notation Line Graph Type [
a, b ] a  x  b
Closed [
a, b ) a  x
< b
Half-open (
a, b ] a
< x  b
Half-open (
a, b ) a
< x
< b
Open

8. Interval Notation  , , x [ b , ) x  b Closed b x ( b,  ) x > b
Interval Inequality
Notation Notation Line Graph Type  x [ b , ) x  b
Closed b x (
b,  ) x
> b b
Open x
–, ( a ] x  a
Closed a x , , ( ( – a ) x
< a
Open a

9. Inequality Properties
For a, b, and c any real numbers: 1. If a
< b
and b
< c
, then a
< c .
Transitive Property 2. If a
< b
, then a + c
< b + c .
Addition Property 3. If a
< b
, then a – c
< b – c .
Subtraction Property 4. If a
< b
and c
is positive, then ca
< cb . ü
Multiplication
Property ý
(Note
difference
between 5. If a
< b
and c
is negative, then ca
> cb . þ 4
and 5. ) a b ü 6. If a
< b
and c
is positive, then
< .
Division
Property c c ý
(Note
difference
between a b þ 6
and 7. ) 7. If a
< b
and c
is negative, then
> . c c
1-3-6