9G (2.8) Inequalities

(2.8)
Inequalities

An Equation is when you have an equal sign:
x + 5 = 11
x has only one value in that example. Maybe you can figure out what that value is.

Multiple Choice

In the equation

x + 5 = 11

What's the value of x?

• 15
• 1
• 10
• 6

​An Inequality is when x has a range of values:
x + 5 > 11 means
a number plus five is greater than 11.

Can you think of a number that fits that description?

There are four symbols used in Inequalities.

The inequality sign eats the bigger number

Multiple Choice

Which of the following is an example of

$$a>b$$   a is greater than b

• a = 10

  and

  b = 9

• a = 7

  and

  b = 7

• a = 9

  and

  b = 10

• a = -3

  and

  b = 0

Multiple Choice

Which of the following is an example of
$$a\ <\ b$$   a is less than b

• a = 10

  and

  b = 9

• a = 7

  and

  b = 7

• a = 9

  and

  b = 10

• a = 0

  and

  b = -3

Multiple Select

Which of the following are examples of

$$a\ge b$$   a is greater than OR equal to b

• a = 10

  and

  b = 9

• a = 7

  and

  b = 7

• a = 9

  and

  b = 10

• a = -3

  and

  b = 0

Multiple Select

Which of the following are examples of
$$a\le b$$   a is less than OR equal to b

• a = 10

  and

  b = 9

• a = 0

  and

  b = 0

• a = 9

  and

  b = 10

• a = 0

  and

  b = -3

Multiple Choice

Which of the following inequalities is CORRECT:

• 10 > 9

• 10 < 9

• 10 ≥ 9

• 10 ≤ 8

• 10 = 9

Multiple Choice

Which of the following inequalities is CORRECT:

• 10 > 20

• 11 < 12

• 10 ≥ 9

• 10 ≤ 8

• 10 = 9

Multiple Choice

Which of the following inequalities is CORRECT:

• 11 > 11

• 11 < 11

• 11 ≥ 11

• 11 ≤ 9

• 11 = 10

Multiple Choice

Which of the following inequalities is CORRECT:

• 11 > 10

• 11 < 4

• 11 ≥ 21

• 11 ≤ 10

• 11 = 10

Multiple Choice

Which of the following inequalities is CORRECT:

• 1 > 10

• 11 < 4

• 11 ≥ 21

• 11 ≤ 12

• 11 = 10

Multiple Choice

Which of the following inequalities is CORRECT:

• 1 > 10

• 11 < 4

• 9 ≥ 8

• 9 ≤ 8

• 11 = 10

Multiple Choice

Which of the following inequalities is CORRECT:

• 1 > 2

• 11 < 11

• 11 ≥ 19

• 11 ≤ 11

• 11 = 10

Multiple Choice

Which of the following inequalities is CORRECT:

• 4 > 3

• 4 < 3

• 3 ≥ 4

• 4 ≤ 3

• 3 = 4

Multiple Choice

Which of the following inequalities is CORRECT:

• 4 > 4

• 4 < 3

• 4 ≥ 4

• 4 ≤ 3

• 3 = 4

Multiple Select

Which of the following inequalities are CORRECT:

• 5 ≥ 4

• 4 ≥ 5

• 1 ≥ 1

• 8 ≥ 9

• 4 ≥ 0

Multiple Choice

Which of the following is a value of x in the inequality:

x + 5 > 13

• x = 20

• x = 8
• x = 7

• x = 0

• x = 5

Multiple Choice

Which of the following is a value of x in the inequality:

x + 10 > 10

• x = 4

• x = 0

• x = -8

• x = -10

• x = -1

Multiple Choice

Which of the following is a value of x in the inequality:

x + 10 > 22

• x = 13

• x = 12

• x = 11

• x = 10

• x = -12

Multiple Choice

Which of the following is a value of x in the inequality:

x - 10 > 22

• x = 33

• x = 32

• x = 30

• x = 13

• x = 31

Multiple Choice

Which of the following is a value of x in the inequality:

x - 10 < 22

• x = 33

• x = 32

• x = 35

• x = 34

• x = 31

Multiple Choice

Which of the following is a value of x in the inequality:

x - 10 ≤ 22

• x = 33

• x = 32

• x = 35

• x = 34

• x = 36

Multiple Select

Which of the following are values of x in the inequality:

x - 10 ≤ 22

• x = 33

• x = 32

• x = 35

• x = 34

• x = 0

Multiple Select

Which of the following are values of x in the inequality:

-10 + x ≤ 22

• x = 33

• x = 32

• x = 35

• x = 34

• x = 0

Multiple Select

Which of the following are values of x in the inequality:

-10 ≤ 22 + x

• x = 33

• x = 32

• x = -35

• x = 34

• x = -31

Multiple Choice

Which of the following is a value of x in the inequality:

3(x) > 6

[HINT: Dividing both sides of the inequality by 3 will simplify it]

• x = 2

• x = 3

• x = 1

• x = 0

• x = -2

Multiple Select

Which of the following are values of x in the inequality:

3(x) < 6

[HINT: Dividing both sides of the inequality by 3 will simplify it]

• x = 2

• x = 3

• x = 1

• x = 0

• x = -2

Multiple Choice

Which of the following is a value of x in the inequality:

2(x) > 10

[HINT: Dividing both sides of the inequality by 2 will simplify it]

• x = 5

• x = 6

• x = 4

• x = 0

• x = 3

Multiple Select

Which of the following are values of x in the inequality:

2(x) < 10

[HINT: Dividing both sides of the inequality by 2 will simplify it]

• x = 5

• x = 6

• x = 4

• x = 0

• x = 3

Multiple Select

Which of the following are values of x in the inequality:

2(x) ≤ 10

[HINT: Dividing both sides of the inequality by 2 will simplify it]

• x = 5

• x = 6

• x = 4

• x = 0

• x = 3

Multiple Select

Which of the following are values of x in the inequality:

11(x) ≤ 22

• x = 2

• x = 1

• x = 4

• x = 0

• x = 3

Multiple Select

Which of the following are values of x in the inequality:

4(x) ≥ 24

• x = 6

• x = 7

• x = 8

• x = 9

• x = 4

Multiple Select

Which of the following are values of x in the inequality:

7(x) ≥ 56

• x = 6

• x = 7

• x = 8

• x = 9

• x = 4

Multiple Choice

Which of the following is a value of x in the inequality:

$$\frac{x}{2}>4$$

[HINT: Multiplying both sides of the inequality by 2 will simplify it]

• x = 6

• x = 7

• x = 8

• x = 10

• x = 4

Multiple Choice

Which of the following is a value of x in the inequality:

$$\frac{x}{2}>10$$

[HINT: Multiplying both sides of the inequality by 2 will simplify it]

• x = 18

• x = 15

• x = 20

• x = 22

• x = 10

Multiple Select

Which of the following are value of x in the inequality:

$$\frac{x}{2}<10$$

[HINT: Multiplying both sides of the inequality by 2 will simplify it]

• x = 18

• x = 15

• x = 20

• x = 22

• x = 10

Multiple Choice

Which of the following is a value of x in the inequality:

$$\frac{x}{10}>6$$

[HINT: Multiplying both sides of the inequality by 10 will simplify it]

• x = 70

• x = 60

• x = 20

• x = 50

• x = 40

Multiple Select

Which of the following are values of x in the inequality:

$$\frac{x}{10}<6$$

[HINT: Multiplying both sides of the inequality by 10 will simplify it]

• x = 70

• x = 60

• x = 20

• x = 50

• x = 40

Multiple Select

Which of the following are values of x in the inequality:

$$\frac{x}{10}\le6$$

[HINT: Multiplying both sides of the inequality by 10 will simplify it]

• x = 70

• x = 60

• x = 65

• x = 68

• x = 100

Multiple Select

Which of the following are values of x in the inequality:

$$\frac{x}{5}>5$$

• x = 26

• x = 30

• x = 20

• x = 15

• x = 25

Multiple Select

Which of the following are values of x in the inequality:

$$\frac{x}{1}<5$$

• x = 4

• x = 30

• x = 20

• x = 5

• x = 25

Multiple Select

Which of the following are values of x in the inequality:

$$\frac{x}{7}\ge9$$

• x = 63

• x = 65

• x = 20

• x = 60

• x = 49

Multiple Choice

Which of the following represents the sentence:

Sally needs over $10 to ride the train

[HINT: x is the amount of money she needs]

• x > 10

• x < 10

• $$x\ge10$$

• $$x\le10$$

Multiple Choice

Which of the following represents the sentence:

Sally needs at least $10 to ride the train

• x > 10

• x < 10

• $$x\ge10$$

• $$x\le10$$

Multiple Choice

Which of the following represents the sentence:

Jessica wants at least two ponies for her birthday.

[HINT: x is the amount of ponies she wants]

• x > 2

• x < 2

• $$x\ge2$$

• $$x\le2$$

Multiple Choice

Which of the following represents the sentence:

Jessica wants less than 27 ponies for her birthday.

[HINT: x is the amount of ponies she wants]

• x > 27

• x < 27

• $$x\ge27$$

• $$x\le27$$

Multiple Choice

Which of the following represents the sentence:

Dylan wants at least one friend to come to his party.

• x > 1

• x < 1

• $$x\ge1$$

• $$x\le1$$

Multiple Choice

Which of the following represents the sentence:

Dylan wants no more than 1500 people to come to his party.

• x > 1500

• x < 1500

• $$x\ge1500$$

• $$x\le1500$$

Multiple Choice

Which of the following represents the sentence:

Chloe knows she had at least 3 almonds for breakfast

• x > 3

• x < 3

• $$x\ge3$$

• $$x<3$$

Multiple Choice

Which of the following represents the sentence:

Chloe had less than 11 almonds for breakfast

• x > 11

• x < 11

• $$x\ge11$$

• $$x<11$$

Multiple Choice

Which of the following represents the sentence:

Charles wanted at least 40 gifts for his birthday. He already got 7

• x + 7 > 40

• x + 7 < 40

• $$x+7\ge40$$

• $$x+7\ \le40$$

• $$x-7\ge40$$

The End