Two Step Inequalities
Multi-Step Inequalities
Compound Inequalities
Absolute Value Inequalities
Word Problems
100
(-3/4)x > -12
x<16
100
7-3x<16
x>-3
100
Write an inequality representing the set of numbers. All real numbers that are greater than or equal to -2 and less than 3.
-2<=x<3
100
|x-4|<3
1<x<7
100
Four more than the quotient of a number and three is at least nine.
(n/3) + 4 >=9 n>=15
200
(2/3)x + 3 > 11
x>12
200

3x + 1.2 < 7x-1.3

X>.625

200

-2<-2-x<1

0>x>-3

200
|2x+3|>4
x<-3.5 or x>0.5
200
There is a rectangle whose length is 9 meters and width is x meters. What values of x make the area greater than 36 square meters.
x> 4 meters
300
6>=(7/3)x - 1
x<=3
300
2x+10 >= 7(x+1)
x<= 3/5
300
3x+1<4 or 2x - 5>7
x<1 or x>6
300
|2x+1|-3>=6
x>=4 or x<= -5
300
You have $18.50 to spend on a pizza. It costs $14 plus $0.75 for each additional topping, tax included. Find the maximum number of toppings the pizza can have.
0.75x + 14 <= 18.50 6 toppings
400
(3/5)x - 2 > (6/5)x + (3/5)
x<-13/3
400
-2(x+3) < 4x-7
x>1/6
400
2 <2x - 3< 4
5/2 < x < 7/2
400
|5x+3| - 4> 9
x<-3.2 or x>2
400
In 1958, the painting of the Mona Lisa was sold at auction for $252,000. The painting was auctioned again in 2000 for 3 million dollars. Write a compound inequality to represent the different values that the painting probably was worth between 1958 and 2000.
$252,000 <= x <= $3,000,000
500
(w+3)/2 < -8
w < -19
500

2(y-2)>-4+2y

no solution

500
0.5n>-2 or 2n-2<6+n
n is any real number
500

6|x+3| - 4 < 20

-7<x<1

500
The test scores in the class range from 60 to 100. Write an absolute value inequality describing the range of test scores.
|x-80|<=20
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