Linear inequalities and double inequalities
from book: chapter 1.4 and 1.5

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PART 1 : LECTURE

NOTATION

example1: consider 4 <= x <= 7
- interval notation ?
- graph notation ?

example 2:  4< x < 7

example3: x > -2

example4: x <= 5

SOLVING INEQUALITIES

example 1: 2x -5 > 9

example 2: 5 - 3x <11

example3 : 21x -11 <= 6x + 19

example4: 2 (14 -x) <= 8 (1+x)

example5: (x+3)/6 + 3/8 >= 1

example6: double inequality  -4 <= 2 - 3(x+2) < 11

example7:  -5 <= x +2 <= 6

example8:  you need a 92 average to earn an A. other tests scores: 95, 88, 91.
Another test is coming up. what score is needed on the next test to earn an A ?

PART2: ON YOUR OWN BUT IN CLASS
(from the book p. 116  - close your book)

1) solve and graph x+5 > 1

2) solve and graph 4x -1 >= 5x -2

3) solve 16 - 7y >10y -4

4) solve -3 ( x+8 ) - 5x > 4x -9

5)  (p. 127) The formula I = 2 (s+10) can be used to convert dress sizes s in the united states to dress sizes I in Italy. For what dress sizes in the United States will dress sizes in Italy be larger than 36 ?

6) ( book p. 131) solve and graph -1 <= 2x + 5 < 13

7) (book p.133) solve and graph  3<= 5 - 2x <= 7

PART III : ASSIGNMENTS. Please work on your assignments.
I will pick 5 of them to make a quiz for next time.

pages 123 to 127
 10, 14, 23, 42, 45,  48, 62, 65, 66, 74, 77, 78, 84

page 138
29, 35, 38, 37










 

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