What is an inequality?

Inequality - Compares two values, showing if one is less than, greater than, less then OR equal to or greater then or equal to another value.

17 > 12 17 is greater than 12

5 < 23 5 is less than 23

With your partner, try and answer.

1.y < -3

a.-3

b.7

c.-9

d.10

e.-4

2.m ≥ 1

a.-1

b.1

c.-8

d.3

e.5

Directions: Select ALL answers that could be a value for the variable

3.8 < p

a.11

b.10

c.1

d.-4

e.8

4.k ≤ 4

a.0

b.-12

c.4

d.9

e.-4

5.b ≥ 0

a.-5

b.-3

c.0

d.3

e.4

6.-10 ≤ w

a.-11

b.3

c.6

d.0

e.-5

Graphing Inequalities

Open Circle

Less than <
Greater than >

Closed Circle

Less than or equal to ≤
Greater than or equal to (≥)

Greater than

Greater than or equal to

Less than

Less than or equal to

When graphing inequalities you need to look at two things:
1. Open or Closed Circle
2. Direction of the arrow

**The direction of the arrow shows all the possible outcomes for the variable**

Ex: Solving One-Step Inequalities

When solving inequalities, you solve the same way we did for solving algebraic equations.

1.

3y > 15

2. 24 ≥ x - 14

The only difference is when you MULTIPLY or DIVIDE
BOTH sides by a negative the sign flips

Should we flip the sign? YES or NO.

1.

3y > 18 __________

3. 18 > -p __________

2.

-9n < 27 __________

4. h/-6 ≥ -18 __________

5.

7. -20 ≤ -3p + 4

Ex: Solving Multi-Step Inequalities

When solving inequalities, you solve the same way we did for solving algebraic equations.

1.

2 + 5x > 57

2. -7 - 2n ≤ 5

Inequalities!

5.1/5.2 Homework

Pg. 267 #2-18 EVEN (9problems)
Pg 268 #22-36 EVEN (8problems)
Pg 274 #16-20 EVEN (3problems)

20 Total Problems