Download 8-4 Notes File - Solanco School District Moodle

8-4 Solving Multi-Step Inequalities!!!
---------------------------------------------------------------------------------------------------Addition Property
For all real numbers a, b, c . . .
of Inequality…
if a < b… then a + c < b + c
----------------------------------------------------------------------------------------------------
Solve and SHOW STEPS!
4m + 8 > 52
-8 -8
4m > 44
4
4
m > 11
1
3 + ½y
2 < 10
-3
-3
1
y<7
2
1 y<7
2
y < 14
2(x + 8) < 20
-4x + 6(x – 2) > -14
2x + 16 < 20
- 16 - 16
-4x + 6x – 12 > -14
2x < 4
2
2
x<2
2x – 12 > -14
+ 12 +12
2x > -2
2
2
x > -1
---------------------------------------------------------------------------------------------------* SPECIAL CASES… BE CAREFUL! *
-3x – (x – 12) < 20
3
-¾f + 2 > 14
12 > -2p + (-44)
4 – 2y > 32
-3x – 1x + 12 < 20
4
-2 -2
+44
+44
-4
-4
3
 f > 12
4
3
 f > 12
4
Hey! Flip that sign!
56 > -2p
-2 -2
Hey! Flip that sign!
--2y > 28
-2
-2
-¾
Hey! Flip that sign!
-4x + 12 < 20
– 12 – 12
-4x < 8
-4 -4
Hey! Flip that sign!
f < -16
-28 < p
y < -14
x > -2
--------------------------------------------------------------------------------------Beth has $10.00 to spend for
school supplies. She bought a
notebook for $4.95… she will
spend the rest on notebook
paper that is $0.79 FOR EACH
ream. How many reams can she get?
4.95 + 0.79r < 10.00
-4.95
- 4.95
0.79r < 5.05
0.79 0.79
r < 6.39 reams
The PTO sends 2500 pieces of mail
to EACH of its 240 members. When the
PTO reaches 500 pieces LEFT. . . they
MUST reorder. How many mailings can
be sent out BEFORE reordering?
2500 – 240m > 500
-2500
-2500
-240m > -2000
-240
-240 Hey! Flip that sign!
m < 8.3 mailings
If she only has $10… she can only get 6!
So… 8 mailings!