Writing Inequalities
Write this as an inequality: Tyler has less than $20.
t < 20
OR
20 < t
Write a number line with the inequality:
x ≥ 20
Closed circle on 20. Arrow goes to the right.
x + 15 > 20
x > 5
Inequality means that the problem is not __________
Inequality literally means not equal
In = Not
Equal = Equal
3x > 12
Solve and graph.
Answer: x > 4
Graph: Open circle on 4. Line goes to the Right.
Write this as an inequality: There are 20 or less students in the class.
s ≤ 20
or
20 ≥ s
Write a number line with the inequality:
x < 10
Open circle on 10. Line goes to the LEFT. (x is smaller)
x - 10 < 19
x < 29
To solve x + 8 > 10
You just take + 8 and do the _________ to the other side.
Do the OPPOSITE to the other side.
10 - 8 = 2
Your answer would be: x > 2
Solve: 5y > 60
Answer: y > 12
Graph: Open circle on 12. Line goes to the Right.
Write this as an inequality:
There are over 25 laptops in the cart.
x > 25
Write a number line with the inequality:
w ≥ 12
closed circle on w. Line goes to the right.
x+5 ≥ 46
x ≥ 41
Means x is ____________ than 20
Means x is GREATER THAN 20.
Anything that is close to that is correct.
x/10 < 8
Answer: x < 80
Graph: Open circle on 80. Line goes to the left.
Write this as an inequality:
There are at maximum 30 seats in class.
30 ≥ x
Write a number line with the inequality:
8 < x
Solve and graph.
12 ≥ x + 12
Answer: 0 ≥ x
Graph: Closed circle on 0. Line goes to the left.
What does that mean?
It means they CAN be equal.
-3x > 15
Solve and Graph.
x < -5
There are no more than 500 students in Meadowlawn Middle School
500 ≥ x
Write a number line with the inequality:
1/2 ≥ x
Closed circle HALF-WAY between 0 and 1. Line goes to the LEFT.
20 ≥ x - 5
Solve AND graph.
Answer: 25 ≥ x
Graph: Closed circle on 25. Line goes to the left.
12b ≥ 60
When we have a problem like this. We take the 12 and do what to the 60?
DIVIDE by 12!
Do the OPPOSITE to the other side!
60/12 = 5
b ≥ 5
Solve and graph.
x/3 ≥ 20
Answer: x ≥ 60
Graph: Closed circle on -60. Line goes to the right.