Easy Inequalities
Write the word sentence as an inequality.
A number a minus 2.6 is more than 7.
a-2.6>7
x-6<=3
x<=9
8<3x+2<=17
2<x<=5
A one-way ticket at a subway costs $2.50. A monthly pass costs $125. For what numbers of rides should you buy the monthly pass?
more than 50 rides per month
Write the word sentence as an inequality.
A number times 3.4 is less than 8
3.4x<8
-5x>=-35
x<=7
x-2<-5 or x-2>=-2
x<-3 or x>=0
In the triangle, the value of x is greater than 3 times the value of y. What are the possible values of x?
x>105
What determines an open or closed circle?
The inequality symbol
x/-2<-3
x>6
You are hiking a trail over multiple days. At the start of your hike, you decide that you need to hike at least 25 miles in the first 4 days, but can't hike more than 35 miles, as you'll pass into swampy terrain where camping won't be possible. You want to hike the same distance each day. Write an inequality that represents the situation.
25<=4x and 4x<=35
6x-20<4x-8
x<6
How would this graph look?
10<x
Open Circle to the right
A pair of wireless headphones costs $160. Your friend has $70 and plans to save $12 each month. Describe the numbers of months your friend needs to save to buy the headphones.
at least 8 months
Write and graph an inequality that represents the numbers that are not solutions of
x-1.9<=6.1
x>8
Write and graph an inequality that represents the numbers that are NOT solutions of x+4.2>12.7
x<8.5
25 divided by a number is at least 4
25/x>=4
3x+2<=17
x<=5
9x-30<=5x-2
x<=7
A one-way ticket at a subway costs $2.50. A monthly pass costs $125. In February, there are exactly 4 weeks. You ride the subway twice each weekday and four times on Saturdays in February. About how much do you save by using the cheaper option?
$15