Linear Inequalities

Solving Inequalities Part 1

100

Solve

x+3>9

x>6

200

Solve 

(x/5)– 11 ≥ -14

x≥-15

300

Solve

7 < 4q - 9

4<x

400

Solve

21 ≤ 3 + 9x

2≤ x

500

Solve 

(2x-3)/-5<3

x>-6

Solving Inequalities Part 2

100

Solve:

4r+8<12r

1<r

200

Solve:

3x+7>3x

No solution

300

Solve: 

4x-5>24x+5

1/2>x

400

Solve:

-3x+6<18-x

x>-6

500

Solve:

2x+6x+16<12x-8

6<x

Writing Inequalities

100

Write a linear inequality:

A number decreased by 7 is at most 13.

x-7≤13

200

Write a linear inequality:

A number plus 6 is greater than 1.

x+6>1

300

Write a linear inequality:

A sum of a number and 14 is at least 28

x+14≥28

400

Write a linear inequality:

the product of a number and 4 is decreased by 5 is less than 32

4x-5<32

500

Write a linear inequality:

Twice a number is more than the sum of that number and 8.

2x>x+8

Interval Notation

100

Write x > 6 in interval notation

(6, infinity)

200

Write x is greater than or equal to 100 in symbol and interval notation

x≥100

[100, infinity)

300

Write x is greater than or equal to 3 in symbol and in interval notation.

x≥3

400

Write x is less than  to 46 in symbol and in interval notation,

x < 46

(-infinity, 46)

500

Write a linear inequality, solve and  write the interval notation,

A number plus 6 is less than 3

x + 6 < 3

x < -3

(-infinity, -3)

Graphing Inequalities

100

Graph the Inequality

 10 > n − 1

n<11

open circle is placed on 11 and arrow goes to the left. 

200

Graph the Inequality

8d < 24

d<3

Open circle at 3 and arrow going to the left. 

300

Graph the Inequality

-15 ≥ -3x -45

-10≤x

Closed circle at -10 and the arrow is going to the right

400

Graph the Inequality

 8r + 6 < 9r

r>6 

Open circle at 6 and arrow is going to the right. 

500

Graph the Inequality

(x/3)+2≥9

x≥21

Closed circle at 21 and arrow going to the right.