Multi-Step & Compound Inequalities

The Basics

100

What type of circle do you use for this symbol < 

Open

200

Graph x> -4 on the white board now!

The graph should go to the right with an open circle over -4

300

What type of circle do you need for this symbol ≤ ?

closed circle

400

True of False: OR compound inequalities have graphs that are connected.  

False

500

x/2 + 5 > 12

x>14

Regular

100

6x + 2+ 6x < 14

x<1

200

-2m + 2 - 3 ≤ 9

m ≥ -5

300

5(6 + 3x) + 7 ≥ 127

x ≥ 6

400

-8x + 2x - 16 < -5x + 7x

x > -2

500

3(p - 3) - 5p > -3p - 6

p > 3

"Or"

100

2n + 7 ≥ 27   or    3 + 3n ≤ 30

n ≥ 10   or   n ≤ 9

200

7x - 5 ≥ 65    or      -3x - 2 ≥ -2

x ≥ 10   or    x ≤ 0

300

-10x + 3 < -37    or    3x - 10 < -25

x > 4  or  x<-5

400

3n + 2 ≤ -2    or     8n - 4< 3n - 4

n ≥ 1    or   n < 0

500

-8x - 5 ≥ 6x -1   or    4 + 4x ≤ 3x - 3

x ≥ 2   or  x ≤ -7

"And"

100

-1 < 9 + n < 17

n > -10  and  n< 8

200

-50 < 7k + 6 < -8

k > -8   and   k < -2

300

-36 < 3p - 6 < -15

p > 10  and   p < -3

400

-33 ≤ -7n - 12 < -26

n ≤ 3   and   n > 2

500

5x + 10 ≤ -4x -17 < 9 - 2x

x > -13   and   x ≤ -3

Hispanic Heritage

100

She was the first Hispanic woman to go to space when she served on a nine-day mission aboard the Space Shuttle Discovery.

Ellen Ochoa

200

This educator from Bolivia is famous for teaching students calculus from 1974 - 1991 at Garfield High School in East Los Angeles. (Hint: we watched a movie about him in class last year)

Jaime Escalantes

300

This Tejano artist released the album Amor Prohibido in 1994

Selena

400

Name one of the founders of the United Farmworkers Union, which is still the largest union that fights for agricultural workers today?

Dolores Huerta and César Chávez

500

What is the national dish of El Salvador

Pupusa