Ch. 5 Solving Inequalities

Ch. 5 Solving Inequalities

by James Flowers

​Vocabulary

Remember, the terms used will be the operation or direction the inequalites will go.

Have you read: greater, lesser, increase, decrease, most, at least, no more than?

These all relatee to the direction of the inequality.

​Remember Inverse Operations, thats what we will use to solve...

Multiple Choice

The keywords "at most" are used with which of the following symbols?

• ≤

• >

• <

• ≥

Multiple Choice

The keywords "at least" are used with which of the following symbols?

• ≥
• ≤
• >
• <

Multiple Choice

Which of the following symbols means "less than"?

• <
• >
• ≤
• ≥

Multiple Choice

Which of the following symbols means "more than"?

• >
• <
• ≤
• ≥

Multiple Choice

Which of the following symbols means "less than or equal to"?

• ≤
• <
• >
• ≥

Multiple Choice

Which of the following symbols means "greater than or equal to"?

• ≥
• ≤
• >
• <

Multiple Choice

The keywords "not equal to" are used with which of the following symbols?

• ≠
• ≤
• >
• <

​Symbols are an important aspect of solving Inequalities

Multiple Choice

Solve and graph.
p - 3 > -8

• A
• B
• C
• D

Multiple Choice

Solve and graph.
k - 13 > -51

• A
• B
• C
• D

Multiple Choice

What inequality does the number line graph represent?

• x ≥ 3
• x > 3
• x < -3
• x ≤ -3

Multiple Choice

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

• <, >
• ≤, ≥ 
• ≤, <
• ≥, >

Multiple Choice

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

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Multiple Choice

When graphing do you use an open or closed circle for < ?

• Open

• Closed

Multiple Choice

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21? 

• yes
• no 

​The use of different computation is key to solving Inequalities

Multiple Choice

Match the graph with its inequality.

• 11 < a

• 11 > a

• 11 ≤ a

• 11 ≥ a

Multiple Choice

• x is less than or equal to -2
• x < -2
• -2 < x
• x is greater than -2

WARNING!​

Multiple Choice

7b - 3 < 11

• b < 2
• 84 > b
• b > 2
• b < 84

Multiple Choice

-12y - 11 < 49

• y < -5
• y > - 5
• y > 5
• y < 5

Multiple Choice

-3r + 10 < -2

• r < -8/3
• r > -8/3
• r > 4
• r < 4

Multiple Choice

Could x = 3 be solution to the inequality 
6 < x + 5 ≤ 11? 

• Yes 
• No 

Multiple Choice

-2(x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

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

​There are times when you will have to decide what is going on and create an equation to solve for a solution...

Multiple Select

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which represents an amount that will require the bank to send a notice?

• $18

• $19

• $20

• $21

• $22

Multiple Choice

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which inequality represents when Mr. Gomez will receive a notice from the bank?

• x<20

• x>20

• x>20

• x<20

Multiple Choice

Antavius must score at least 4 more points in the game this weekend than he did in the last game to be the top scorer for his team. In the last game he scored 13 points. Which inequality represents what Antavius must score, s, to be the team's top scorer?

• s>4

• s>13

• s>17

Multiple Choice

The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

• 300x + 10 ≥ 2000
• 10x + 300 ≤ 2000
• 10x + 300 > 2000
• 300 + 10x ≥ 2000

​We will be moving into Compound Inequalities next....