SOLVING MULTI-STEP LINEAR

INEQUALITIES

Section 6.3

Key Rule for inequalities

If you multiply or divide by a negative #, you must flip the inequality

19307 x

497 x 7x

30 30

7 7

| | | | | 6 7 8

1632 xxx2 x2

143 x

11x44

x4

4

x1

| | | | | 0-1 1

)2(336 xx

6336 xx

633 x

33 x

1x

| | | | | 10 2

xx 4957

x 97

x 2

| | | | | -1-2 0

𝑥<−2

483

2 x

43

2 x

6x

| | | | | -6-7 -5

* −32∗

FLIP THE SIGN!

A water park charges $12 for admission and $5 to park your vehicle. Write an inequality that represents the possible number of people that could go for $50. Solve the inequality. What is the maximum number of people that could go?

50512 x

4512 x

75.3x

The maximum number of people that could go to the water park is

3

You want to go to the state fair and try your luck playing the games on the midway. The entrance fee is $5 and the games are $1.50 . Write an inequality that represents the possible number of games you can play if you have $25. Solve the inequality. What is the maximum number of games you can play?

25550.1 x2050.1 x

3.13x

The maximum number of

game you can play is 13

5( 9) 5 46b b

5 45 5 46b b 5b 5b

45 46

This is a true statement

All Real Numbers

xxx 185)3(6

186186 xxx6 x6

1818 This is a false statement

No Solution