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Write It Out!
200

x + 8 < -3

x < -11

200

-2 < x <= 3

GOOD JOB!

200

|x + 2| = 18

x = -20 and x = 16

200
If an absolute value expression is LESS than a number, is that an "AND" situation or an "OR" situation?
"AND" situation
200

Translate into an inequality: 

"4 more than a number is less than or equal to 16."

n + 4 <= 16

400

14 > 6x - 10

4 > x

400

2x - 7 < 13 OR x + 8 > 22

x < 10 OR x > 14

400

|6x - 4| = -20

No solution

400

|x + 3| < 8

-11 < x < 5

400

When do you reverse the sign of an inequality?

When you multiply or divide by a negative number.

600

-7x + 3 < 45

x > -6

600

-15 <= -3x + 6 < 3

7 >= x > 1

600

|3x - 12| = 9

x = 7 and x = 1

600

|2x + 5| > 19

x > 7 OR x < -12

600

Hambone has no more than 15 rattlesnakes in a jar. 

Write an inequality to represent the situation.

r <= 15

800

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

x > 26

800

-2x + 11 < 3 OR x/3 - 1 < -10

x > 4 OR x < -27

800

|2x - 6| + 8 = 20

x = 9 and x = -3

800

|x + 11| - 7 < -3

-15 < x < -7

800

Flippy earns $35 an hour as an electrician.

Write an inequality to find the number of hours Flippy needs to work to earn AT LEAST $1500 in a week.

35h >= 1500

1000

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

-16 > x

1000

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

4 < x < 9

1000

2|x - 8| - 5 = 7

x = 14 and x = 2

1000

-5|x + 8| > 20

No solution

1000

Hambone needs AT LEAST 800 points to be a Jeopardy Finalist. He currently has 640 points, with one round to go. 

Write an inequality to determine the number of points Hambone needs in the final round.

640 + p >= 800