Graphing and Writing Inequalities

Word Problems

One-Step Inequalities

Two-Step Inequalities

BONUS: Compound Inequalities

100

When graphing inequalities, which symbols have an OPEN circle?

< Less Than

> Greater Than

100

The garden club is planting fruit trees in their school's garden. There is 1 large tree that needs 5 pounds of fertilizer. The rest are newly planted trees that need .5 pounds of fertilizer each. Write an inequality that represents this situation.

.5x + 5 <_25

(.5x plus 5 is less than or equal to 25)

100

Solving Inequalities

Solve for x.

2x > 8

What is:

x > 4

100

Solving Inequalities

Solve for x.

4x + 3 < 7

What is:

x < 1

100

Solving Inequalities

4 < f + 6 < 5

What is:

-2 < f < -1

200

When graphing inequalities, which inequality symbols have a CLOSED circle?

≤ : Less Than or Equal to

≥ : Greater than or Equal to

200

The hiking club is on a hile down a cliff. They begin at an elevation of 12 feet and descent at the rate of 3 feet per minute. Write an inequality that represents this situation.

37x - 3 >_12

37x - 3 greater than or equal to 12

200

Solve the Inequality

X + 4 < -88

What is:

X < -92

200

Solving Inequalities

Solve for x.

2x - 5 > - 11

What is:

x > -3

200

Solve the inequality

p - 2< -2 OR p - 2 > 1

p < 0 OR p > 3

300

Which direction do we shade for -3 > x ?

What is

Left

300

True or false: use an open circle to represent the inequalities < and > ?

True

300

Solve the Inequality

z/30 > 70

(z divided by 30)

z > 2,100

300

Solving Inequalities

Solve for x.

-9x + 1 > -71

What is:

x > -8

300

Solve

-3p + 1 < -11 OR p + 4 < 6

p > 4 OR p < 2

400

Is the following inequality graphed correctly?

x < 6

No, the graph shows x > -6

400

True or False: If graphing 5>x, we would put an open circle on 5 and shade to the right.

False.

400

Solve the Inequality

-4x < 14

What is:

x > -7/2 OR x > -3.5

(Negative 7 over 2)

400

Solve for v.

v/3 + 14 < 30

v < 48

400

Solve an Inequality

8 < 4d + 12 < 32

-1 < d < 5

500

What are these symbols called:

< , ≤ , > , ≥?

What is

500

At midnight the temperature in a city was 8 degrees Celsius. The temperature was dropping at a steady rate of 3 degrees per hour. How long did it take to get to at least -16 degrees Celcius? Write an inequality to represent the situation.

8 -3t >_-16

8 - 3t is at least -16

500

Solve the Equation:

f - 9 < -58

What is:

f < -49

500

Inequalities

11 < 2 - 3x

x < -3

-3 > x

500

-12 < -3x + 6 < -6

6 > x > 4