Show:
Single Variable Inequalities
Compound Inequalities
Inequality word problems
Graphing single variable inequalities
Graphing two variable inequalities
100
x - 7 > 16
x > 23
100
-6 < 3x - 7 < 5
1/3 < x < 4
100
Write an inequality to represent this situation:
You want to drive at least 250 miles each day.
What is m >= 250?
100
Write an inequality represented by the graph.
What is x > -3?
100
Would the boundary line for the graph of 2x - y > -9 be a dashed line or a solid line?
What is dashed?
200
-4x < 24
x > -6
200
4 < 1/2x + 2 < 8
4 < x < 12
200
Six taken away from four times a number is greater than two. For what numbers is this true?
What is n > 2?
200
Graph x > -4
What is
?
200
Is (-2, 3) a solution to 2x - y > -9?
YES; -7 > -9
300
2x + 8 > -12
x > -10
300
7x - 9 > 12 or -3x + 1 > 7
x > 3 or x < -2
300
Emme, a mechanic, earns $10 for every oil change she performs and $85 for every tune-up. She needs to earn over $2,000 today to be able to pay the rent for her business and still have some money left over.
Write an inequality in standard form that describes this situation.
Use the given numbers and the following variables.
x = the number of oil changes Emme will do today
y = the number of tune-ups Emme will do today
What is 10x + 85 y > 2000?
300
Write the inequality represented here:
What is x<-1 or x >2?
300
Write the inequality represented here:
what is y <= -x +3?
400
-5(3 - x) + 21 < -3x + 14
x < 1
400
6x + 10 < 8 or 4x - 3 > 9
x < -1/3 or x > 3
400
Lucia is sewing some clothing. She has 72 yards of fabric to use. She uses 4 yards of fabric to make a short-sleeved shirt and 16 yards of fabric to make a long-sleeved shirt.
Select the inequality in standard form that describes this situation.
Use the given numbers and the following variables.
x = the number of short-sleeved shirts
y = the number of long-sleeved shirts
What is 4x + 16y <= 72?
400
Graph: -1 < x < 2
What is
400
Graph: y < x

The white is the shaded region.
500
You want to spend no more than 80 dollars on an outfit for your birthday party. You have already spent 56 dollars on a shirt. Write an inequality to represent the possible cost of the rest of your outfit.
80 >= 56 + x
500
Translate: Five more than x is less than 8 or 3 less than x is greater than 5
5 + x < 8 or x - 3 > 5
500
If the product of a number and –7 is reduced by 3, the resulting value is greater than 33 less than twice the opposite of that number. What are the possible numbers?
What is n < 6?
500
Graph x ≥ 2 OR x < 4
What is
500
Graph: 2x + 5y >= -5
What is