Inequalities

Inequalities

Multiple Choice

more than

• <
• >
• ≤
• ≥

Multiple Choice

What is this symbol?

• less than

• greater than

• less than or equal to

• greater than or equal to

Multiple Choice

Fewer Than

• <
• >
• ≤
• ≥

Multiple Choice

No More Than

• <
• >
• ≤
• ≥

Multiple Choice

Which of these means that x is greater than or equal to 12

• x ≥ 12
• x  > 12
• x ≠ 12
• x ≥ 15

Multiple Choice

What symbol could go in the box to make a true statement?
9 ___  -9

• >
• <
• ≥
• ≤

Multiple Choice

When you graph an inequality, you used a CLOSED dot when you use which symbols?

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Multiple Choice

When graphing an inequality, you use an OPEN dot when you use which symbol?

• <, >
• ≤, ≥ 
• ≤, <
• ≥, >

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

A student must be at least 15 years old to obtain a driver’s permit.

• x > 15
• x < 15 
• x ≤ 15
• x ≥ 15

Multiple Choice

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• X < 5
• X > 5
• X ≥ 5
• X ≤ 5

Multiple Choice

What inequality does the number line graph represent?

• x ≥ 3
• x > 3
• x < -3
• x ≤ 3

Multiple Choice

Which graph represents the inequality  6 > x

• A
• B
• C
• D

Multiple Choice

Do I need to flip my sign?
3x  ≥ 12

• Yes
• No

Graphing Inequalities

In the inequality x > 6, the number 6 is not part of the solution set. Here is why...

6 > 6 ---- Six is not greater than six !

Therefore, when graphing, I will start from 6 but not include six as part of my solution set. 
x  $\ge$  6  ------- In this inequality six is part of the solution. Here is why....

6  $\ge$  6  ---------   6 makes the inequality  true because of  "or equal than" 

Multiple Choice

When graphing b < 6 would you use an open or closed circle?

• Open
• closed

Multiple Choice

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number

Multiple Choice

x + 5 > 7

• x > -2
• x > 2
• x > 12
• x > -12

Multiple Choice

7n > 49

• n > 7
• n < 7
• n > 343
• n < 343

Multiple Choice

Do I need to flip my sign?
-3x  ≥ 12

• Yes
• No

Multiple Choice

Decide if the inequality is open circle or closed circle: 4x > 16

• Open Circle

• Closed Circle

• Flip the sign

• I don't know

Multiple Choice

-8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

Multiple Choice

2x > 12

• x > 6

• x < 6

• x ≥ 6

• x ≤ 6

Multiple Choice

Simplify the inequality:

• -7n > -7

• -9n > -7

• -8n > n - 7

• Already simplified

Multiple Choice

The solution is:

• n > -7

• n < 0

• n > 7

• n < 1

Multiple Choice

Simplify the inequality:

• 6x - 10 > -42

• 6x - 4 > -42

• 6x - 60 > -42

• Already simplified

Multiple Choice

The solution is:

• x < -1

• x > 5

• x > -2

• x > 3

Multiple Choice

The graph of the solution is:

Multiple Choice

-2(x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

Multiple Choice

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1
• k≤1
• k≥1
• k ≥ -1

Multiple Choice

-3x − 4 < 5

• x > -3
• x < -3
• x < (1 ⁄ 3)
• x > (1 ⁄ 3)