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