Transcript Lesson 3-4 Solving Multi

Lesson 3-4
Solving Multi-Step
Inequalities
Objectives: To solve multistep inequalities with the
variable on one and/or both
sides.
Real-World Connection
Have
you ever made or
needed a banner? Are you
into carpentry? Solving
multi-step equations can help
you determine the
measurements needed for
making and building things.
STEPS
1.
2.
3.
4.
Simplify. (Get rid of parentheses,
fractions, or decimals, combine like
terms, etc.)
Undo addition or subtractions.
Undo multiplication or division.
Note: Don’t forget to reverse the
symbol if mult/div by a negative.
Check.
Example 1, page 153

a) -3x - 4 < 14
Solution: x > -6

b) 5 < 7 – 2t
Solution:
t<1
Example 1 continued

c) -8 < 5n - 23
Solution: n > 3

d) 5k + 12 < 2
Solution: k < -2
Example 2, page 154

To make a second banner, the committee decided
to make the length 12 feet. They have 40 feet of
a second type of trim. Write and solve an
inequality to find the possible widths of the
second banner.
Solution: w < 8
Example 3, page 153

a) 4p+2(p + 7)< 9
Solution: p < -1

b) 15< 5-2(4m+7)
Solution: m < -3
Example 3, continued
 c)
8 > 3(5 - b) + 2
Solution: b > 3
Examples 4 & 5, page 155

Ex. 4) 3b+12 > 27–2b
Solution: b > 3

Ex. 5) -6(x-4)>7(2x-3)
Solution: x < 2.25
Summary
What
did you learn today?
SUMMARY

1.
2.
3.
4.
Solve multi-step inequalities just as
you would solve multi-step
equations.
Simplify.
Undo add/subt.
Undo mult/div. (Reverse symbol, if needed.)
Check.
ASSIGNMENT
 #3-4,
page 155,
Odd 1 – 79, odd 87-103