Introduction to Inequalities

Introduction to Inequalities

INEQUALITY

Key phrases:

Key phrases:

Key phrases:

Key phrases:

Multiple Choice

A student must be at least 16 years old to obtain a driver’s license.

• x > 16

• x < 16

• x ≤ 16

• x ≥ 16

Multiple Choice

Which sign matches this phrase?

There are fewer than 50 people allowed in this area.

• x > 50

• x < 50

• x ≤ 50

• x ≥ 50

Multiple Choice

Which sign matches this phrase?

I need at least 30 orders to meet my goal.

• x > 30

• x < 30

• x ≤ 30

• x ≥ 30

Multiple Choice

Which sign matches this phrase?

I see more than 15 seagulls.

• x > 15

• x < 15

• x ≤ 15

• x ≥ 15

Multiple Choice

To order from the kids menu a person must be no more than 12 years old.

• x > 12

• x < 12

• x ≥ 12

• x  ≤ 12

Multiple Choice

Which sign matches this phrase?

I can spend no more than $20 at the store.

• x > 20

• x < 20

• x ≤ 20

• x ≥ 20

SOLUTION OF INEQUALITY

Inequalities have Solution Sets - The numbers in the solution set satisfy the inequality - they make the inequality true.

Multiple Select

Choose all of the values that ARE in the Solution Set of the inequality below.

$$x<5$$

• 4

• 3

• 5

• 0

• -4

Multiple Select

Choose all values of x that are a solution for the inequality.

$$x\ge\left(-15\right)$$

• -15

• -5

• 0

• 3

• -19

Multiple Select

Choose all values of x that are a solution for the inequality.

$$x\le(-7)$$

• -8

• -7

• 7

• -53

• -3

GRAPH OF INEQUALITY

All Numbers in the Solution Set have shading above them.

Open circle is used when a number is not a solution < or >

Closed circle is used when a number is a solution ≤ or ≥

​When you graph an inequality, you must have a STARTING POINT which is either an open or closed circle.

GRAPH OF INEQUALITY

Notice all of the inequalities below have a STARTING POINT of 3.

When the variable is LARGER than the number shade to the right.

When the variable is SMALLER than the number shade to the left.

​​The starting point is 2. The SOLUTION SET consists of all numbers larger than 2 only. There is NOT shading above the 2 but there is shading above all numbers to the right of 2.

​​The starting point is 2. The SOLUTION SET consists of all numbers larger than 2 OR greater than 2 because there is shading above the starting point and all numbers to the right of 2.

Multiple Choice

If you were to graph the inequality  would the circle be open or closed? 
x > 45 

• open

• closed

Multiple Choice

When graphing an inequality, if the starting point is shaded, that means the starting point is ___________ in the Solution Set.

• Not included

• Included

Multiple Choice

When graphing an inequality on a number line, these symbols require you to put an open circle above the starting point.

• $$<\ \ \ >$$

• $$\le$$ $$\ge$$

Multiple Choice

If you were to graph the inequality below, you would shade to the _________ $$x\le9$$

• left

• right

Multiple Choice

If you were to graph the inequality below, you would shade to the _________ $$x<17$$

• left

• right

Multiple Choice

 Match the graph with the given solution.

• A

• B

• C

• D

GRAPH OF INEQUALITY

Multiple Choice

Choose the correct inequality statement to match the graph in the picture.

• $$x>4$$

• $$x<4$$

• $$x\ge4$$

• $$x\le4$$

Multiple Choice

Choose the correct inequality statement to match the graph in the picture.

• $$x>3$$

• $$x<3$$

• $$x\ge3$$

• $$x\le3$$

Multiple Choice

Choose the correct inequality statement to match the graph in the picture.

• $$x>-7$$

• $$x<-7$$

• $$x\ge-7$$

• $$x\le-7$$

Multiple Choice

BE CAREFUL HERE! NOTICE THE VARIABLE IS ON THE RIGHT SIDE - SEE IF YOU CAN CHOOSE THE CORRECT INEQUALITY.

Choose the correct inequality statement to match the graph in the picture.

• $$-8>x$$

• $$-8<x$$

• $$-8\ge x$$

• $$-8\le x$$

Multiple Choice

BE CAREFUL HERE! NOTICE THE VARIABLE IS ON THE RIGHT SIDE - SEE IF YOU CAN CHOOSE THE CORRECT INEQUALITY.

Choose the correct inequality statement to match the graph in the picture.

• $$2>x$$

• $$2<x$$

• $$2\ge x$$

• $$2\le x$$

Poll

How do you feel about the material in this lesson?

1 = "I am totally confused"

3 = "I still have questions"

5 = "I understand completely"

• 1

• 3

• 5

SOLUTION OF INEQUALITY

Now complete the Quizizz Assignment the covers this topic (Lesson 2.1)