Solving Inequalities
s-(-1)>=2
What is
s>=1?
15>=-5g>=-10
What is
-3<=g<=2
|y+2|=8
What is
y=-10, y=6?
|q/3|>2
What is
q<-6 or q>6
You want to spend less than 2 hours on your cell phone. You spend 38 minutes watching a video. Write and solve the inequality.
What is
x+38<120
You can use your cell phone less than 82 more minutes.
1<=-1/4y
What is
-4>=y
2t+6> 10 or -t+7<=2
What is
t<2 or t>=5?
|3x+12|=0
What is
x=4?
3|2a+5|+10<=37
What is
-7<=a<=2?
The area of the rectangle is at least 140 square cm. Find the possible values of x. (see #13 on 2.4)
What is
x>=4?
5/2<=c+1/2
What is
2<=c
38< 9-2c<4
What is "No Solution"?
|6-5v|+2=1
What is "No Solution"?
|f+12|> -4
What is "No Solution"?
A safety regulation states that the height of a handrail should be no more than 37 inches and no less than 30 inches. Write an inequality that represents the acceptable heights of a handrail.
What is
30<=x<=37?
8<=-4(d+1)
What is
-3>=d?
-8<=1/3(6x+24)<=12
What is
-8<=x<=2
2|0.2g+8|=10
What is
g=-65, g=-15?
|x/4-7|<-2
What is "No Solution"?
A machine should fill a bag with 50 pounds of sand. The actual mass is allowed to vary by up to 2 ounces. What are the minimum and maximum masses for the bag of sand?
What is between 48 and 52 ounces?
10.2> -3(x+1)
What is
-4.4< z
14> -0.6x+0.2 or 3x+9<=18
What is "All Real Numbers"?
3|2x+5|+10=37
What is
x=-7, x=2?
|4x-7|+8>=17
What is
x<=-1/2 or x>=4
The difference between the areas of the figures is at most 6. (see #15 on 2.6)
Write and solve an inequality that represents the situation.
What is
-1<=x<=2?