Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3...

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Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6. . 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3 5.x < 1 6.x = 27 2 3 15 3 x

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Transcript of Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3...

Page 1: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

Warm ups

Solve for x.

1. 3 + x < 12

2. 23 > x – 15

3. 2x – 10 > x + 6

4. -3.4 > 0.9 – p

5. -3 + x > 2x – 4

6. .

1. x < 9

2. x < 38

3. x > 16

4. p > 4.3

5. x < 1

6. x = 2723 15

3x

Page 2: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

7-2 Solving Inequalities Using Multiplication and

DivisionObjective: To solve inequalities

by multiplying and dividing.

Standard 5.0

Page 3: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

Flip Inequality sign when:

1. You need to move the letter (variable) to the left

3 < x -5 > p

2. You multiply or divide by a negative number

-2x > 414

3x

3x 5p

12x 2x

Page 4: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

Examples – solve and graph

1. 3w > 27

3 3

w > 9

2. x < 3

12 2

x < 18

(12)(12)6

Page 5: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

Examples – solve and graph

3. -4x < -3

-4 -4

x > 3/4

4. 18 < -3m

4

-24 > m

m < -24

-4

3

6

Divide by a negative – FLIP!

-4

3

Move letter to left – FLIP!

Multiply by a negative – FLIP!

Page 6: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

TOO – watch the flip!

6 4x 6 24y 54

x

424

5x 3

184

m

Page 7: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

Multi-step inequalities

8. 3n + 4 > -14

-4 -4

3n > -18

3 3

n > - 6

Page 8: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

Homework

Pg. 396 # 21-43 ODD

Page 9: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

7-1 – 7-2 Review

Math Lab.

Standard 5.0

Page 10: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

Flip Inequality sign when:

1. You need to move the letter (variable) to the left

3 < x -5 > p

2. You multiply or divide by a negative number

-2x > 414

3x

3x 5p

12x 2x

Page 11: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

7-1 Review

5 9x 3 2x 15 6x

Page 12: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

7-2 Review

102

x

532x6 18x

Page 13: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

7-3 Preview/Review

2 7 17m

7 1 26 2x x

2 3 2x

Page 14: Warm ups Solve for x. 1. 3 + x < 12 2. 23 > x – 15 3. 2x – 10 > x + 6 4. -3.4 > 0.9 – p 5. -3 + x > 2x – 4 6.. 1.x < 9 2.x < 38 3.x > 16 4.p > 4.3

7-3 Preview/Review

2 5 3 7x x

4 2 8 (6 10)y y y

2 37

5

x


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