Algebra 1 - Inequalities

One Step Inequalities

100

x - 7 > 3

{x|x>10}

200

- 13 > w + 12

{w|w < -25}

300

t/-2 > 4

t<-8

400

-3.5z < 42

z>-12

500

b/8 > -1/5

b<-1 3/5

Multi-Step Inequalities

100

t/-2 + 2> 4

t<-4

200

-3.5z - 7< 42

z>-14

300

4x - 3< 21

x<6

400

1.5g + 4<1

g<-2

500

-3m + 15 < -3(m-5)

No solution

Compound Inequalities

100

5t + 8 < or = 3t - 3

{t|t < or = -5.5}

200

1.9 + 1.7x < 2.1(3 + x)

{x|x > -11}

300

3(-w - 6) < 2(2w + 8) + 1

{w|w > -5}

400

Solve AND graph the solution set: w/3 < 1 OR 3w + 5 > 11

{w|w is a real number} Graph of a line showing all real numbers.

500

2 + 3x > 8 OR 4 - 7x < or = -17

{x|x > 2} open circle over 2 on the number line, arrow pointing to the right (increasing positive numbers)

Absolute Value

100

Graph the solution set: |x - 2| > or = 3

Filled in circle over -1, pointing to the left, filled in circle over 5, pointing to the right.

200

What is the solution set of |2x - 3| > 4?

{x|x < -0.5 or x > 3.5}

300

Solve and Graph: |2x - 5| < 3

{x|1< x < 4}

400

Solve and Graph: |z + 4| > or = 7

{z|z < or = -11 OR z > or = 3} filled in circle over -11, pointing left, filled in circle over 3, pointing right.

500

5|-p+2| + 4 > 4

All real numbers

Random Trivia

100

What is a group of locusts called?

A plague

200

What former US President was a peanut farmer?

Jimmy Carter

300

What type of leaf is depicted on the national flag of Canada?

a maple leaf

400

Who is the Denver Nuggets all time leading scorer?

Alex English

500

What college did Mr. Lewon graduate from?

University of South Dakota