Word Problem
Graph
Absolute Value
And/Or
Mystery
100
Write an inequality:
The school track team needs at least 5 runners to compete at Saturday's meet.
x>= 5
100
Graph
-3<= x< 4
Closed dot on -3
Open dot on 4
Shaded inbetween
100
[n+2] >=4
n<=-6 or n>=2
100
-1<= x-3< 2
2<=x<5
100
Write an inequality for this graph.
x > -1
200
Write an inequality then solve.
2 less than a number times negative 3 is at least 7.
-3x - 2 <=7
x>=-3
200
Solve and Graph
-3/5x >= -9
x<=15
Closed dot on 15 going to the left
200
[-5x]<=15
-3<=x<=3
200
0<-8x<=12
-3/2 <=x<0
200
Solve
-6(1/7y+1) >= 42
y<=-56
300
Write an inequality then solve.
3 more than double a number is at least -9 but no more than 5.
-9<=2x+3 >=5
-6<=x>=1
300
5/8 x >= 5/2
Solve and graph
x>= 4
closed dot on 4 going right
300
[6-x]<-3
no solution
300
-2<=x+1/2<4 1/2
-5/2<=x<4
300
Write a compound inequality for the graph.
-3<=x<2
400
A freight elevator can safely hold no more than 200 pounds. An elevator operator must take 55-pound boxes to a storage area. If he weighs 165 pounds, how many boxes can he take at one time?
At most 33 boxes.
400
4(2x-3)-8 + x> -3(-3x-5)
solve and graph
no solution
400
[3x+5]> -2
all real numbers
400
5x-3 > 7 or 4x-6 <-10
x<-1 or x>2
400
4+1/2x >2x
x< 8/3
500
You have an allowance of $12.00. You buy a discount movie ticket that costs at least $3.50 and popcorn that costs $2.75. Write and solve an inequality to find how much you have for other spending.
3.50+2.75+ x <= 12
x<= 5.75
500
Solve and graph
2t <=-4 or 7t>= 49
t<= -2 or t>= 7
Closed dot on -2 going to the left.
Closed dot on 7 going to the right.
500
[2x-7] -1>0
x<3 or x>4
500
12<=(14+17+x)/3 <=16
5<=x<=17
500
The ideal length of a certain nail is 22 mm. The actual length can vary from the ideal by at most 0.4 mm. Find the range of acceptable lengths of the nail.
19.6<=x<=20.4