Inequalities
If x>12, what could be a value for x?
13,14,15,...
5x > 40
x>8
Clara bought $5 worth of apples and $x worth of bananas. She spent no more than 10. How much could she have spent on bananas?
No more than $5
32 + x = 40
31
The fruit dealer sold 23.67 kgs of mangoes, 67.12 kgs of watermelons, 12.38 kgs of strawberries and 56.73 kgs of oranges. How many kilograms of fruits were left if the fruit dealer started with 167.45 kgs of fruit?
27.54 kgs
Write an inequality for the following senario: I ate at least 3 cookies.
x is greater than or equal to 3.
3(x + 12) < 100
x<21 1/3
Ryan is a wrestler trying to make weight. He currently weighs 200 lbs. If he cuts 2 lbs. per week, how many weeks will it take him to weigh less than 175 lbs.?
More than 12.5 weeks
3(x + 12) = 63
9
At the food booth, there are 3 types of pizza to choose from. There are 26 1/4 cheese pizzas, 16 1/8 pepperoni pizzas and 9 3/8 pepper pizzas. How many pizzas are available for vegetarians?
There are 35 5/8 pizzas available for vegetarians
Graph the following inequality: 12 > x
See board
-(14x - 42) < 10
x < 2 2/7
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?
Erica can travel no more than 12.7 miles
-1/2x + 200 x 3 = 575
50
Each regular size of basket contains 40 mangoes and costs $61.50. The farmer harvested 20.2 baskets of mangoes yesterday. How many mangoes were harvested? How much was the total cost of the baskets the farmer harvested yesterday?
The total cost of the baskets of mangoes was $1,242.30
Graph the following ineqality: 34 > x > 2
See board.
2,587(x - 3) is greater than or equal to 20,696
x is greater than or equal to 5
Chris wants to order DVD's over the internet. Each DVD costs $15.99 and shipping the entire order costs $9.99. If he can spend no more than $100, how many DVD's could he buy?
No more than 5 DVDs
−3 + 5a = 4a − 10
-7
The ceiling is 8 feet 7 inches from the floor. Lucas can reach up to 7 feet 9 inches when he raises his arm. If he stands on a stool that is 8 inches tall, can he reach the ceiling?
No
Graph the following inequality: Anna's mom's car can fit up to 8 people in it.
See board.
y is less than or equal to 9
Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members canrent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member?
At least 15 times.
−13 + n + 5 + 6 = 5 + 4(n − 1)
-1
Martin has a business washing cars. Last year he washed 20 cars a week. This year, he wants to increase his business to 1,200 cars a year. How many cars will he have to wash each month on average?
He will have to wash 100 cars each month.