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Lesson 3-4 Solving Multi-Step Inequalities. Objectives: To solve multi-step inequalities with the variable on one and/or both sides. Real-World Connection.

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lesson 3 4 solving multi step inequalities

Lesson 3-4Solving Multi-Step Inequalities

Objectives: To solve multi-step inequalities with the variable on one and/or both sides.

real world connection
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
STEPS
  • 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

b) 5 < 7 – 2t

Example 1, page 153

Solution: x > -6

  • Solution: t < 1
example 1 continued
c) -8 < 5n - 23

d) 5k + 12 < 2

Example 1 continued

Solution: n > 3

Solution: k < -2

example 2 page 154
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

b) 15< 5-2(4m+7)

Example 3, page 153

Solution: m < -3

Solution: p < -1

example 3 continued
Example 3, continued
  • c) 8 > 3(5 - b) + 2

Solution: b > 3

examples 4 5 page 155
Ex. 4) 3b+12 > 27–2b

Ex. 5) -6(x-4)>7(2x-3)

Examples 4 & 5, page 155

Solution: x < 2.25

Solution: b > 3

summary
Summary
  • What did you learn today?
summary11
SUMMARY
  • 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
ASSIGNMENT
  • #3-4, page 155,

Odd 1 – 79, odd 87-103