Inequalities

Solving "Simple" Inequalities

100

Solve: x + 8 < -3

x < -11

200

Solve: 14 > 6x - 10

4 > x

300

Solve: -7x + 3 < 45

x > -6

400

Solve: 9x + 5(3 - 2x) < -11

x > 26

500

Solve: -3(6 - 2x) > 14 + 8x

-16 > x

Compound Inequalities

100

Graph: -2 < x <= 3

See board

200

Solve: 2x - 7 < 13 or x + 8 > 22

x < 10 or x > 14

300

Solve: -15 <= -3x + 6 < 3

7 >= x >1

400

Solve: -2x + 11 < 3 or x/3 - 1 < -10

x > 4 or x < -27

500

Solve: -16 < 4(2x - 12) < 24

1 < x < 9

Absolute Value Equations

100

Solve: |x + 2| = 18

-20 and 16

200

Solve: |6x - 4| = -20

No solution

300

Solve: |3x - 12| = 9

7 and 1

400

Solve: |2x - 6| + 8 = 20

9 and -3 

500

Solve: 2|x - 8| - 5 = 7

14 and 2

Interval Notation

100

Write as an inequality (-5,-3)

-5<x<-3

200

Write as an interval and draw a number line

x<=0 or x>=9

[0,9]

See board for number line

300

See board for question.

Write as an inequality and in interval notation

See board

400

Write as an inequality and draw a number line

(3,5]

3<x<=5

see board for number line

500

Write as an interval and draw a number line

x<3 or x>=6

See board 

Writing Inequalities & Other Stuff

100

Translate into an inequality: "4 more than a number is less than or equal to 16."

4 + x <= 16

200

When do you flip the sign of an inequality?

When you multiply or divide by a negative number

300

Tracie has at least 57 gumballs in a jar. Write an inequality to represent the situation.

x >= 57

400

An electrician earns $35 an hour. He wants to earn at least $1500 a week. Which inequality could be solved to determine the number of hours he would need to work?

35h >= 1500

500

Will needs at least 800 points to be a finalist on a game show. He currently has 640 points with one round to go. Which inequality could be solved to determine the number of points needed in the last round in order for him to be a finalist?

640 + x >= 800