1-Step +/-
x +5le7
x +5le7
xle2
x/6ge-2
x/6ge-2
xge-12
3x-3> -12
3x-3> -12
x> -3
Dylan went to the amusement park with $40 to spend. His ticket cost $26.50. Determine how much Dylan can spend on souvenirs and snacks. Write an inequality, solve and interpret the solution.
x+26.50le40
xle13.50
The most Dylan can spend on souvenirs and snacks is $13.50.
Marco has $25, and he makes $11 per hour. He needs at least $58 to buy new shoes. Write and solve an inequality to determine how many hours Marco must work to be able to buy the new shoes. Then interpret the solution.
11x+25ge58
xge3
Marco must work at least 3 hours to buy new shoes.
1<x+6
1<x+6
x> -5
-14ge7x
-14ge7x
xle-2
-4le-4x+8
-4le-4x+8
xle3
Natalie earns $6 an hour babysitting. She wants to earn at least $168 for a new pair of shoes. Determine the numbers of hours she must babysit to earn enough money for the shoes. Write, solve and interpret a solution.
6xge168
xge28
Natalie needs to babysit 28 hours or more.
A flooring company uses 8 nails for every square foot of hardwood its employees install. They have already used 2,000 nails on a section of floor. They can use a maximum of 5,000 nails before they run out. Write and solve an inequality to determine how many more square feet the employees can install before running out of nails. Then interpret the solution.
8x+2,000le5,000
xle375
The flooring company's employees can install at most 375 more square feet of hardwood before running out of nails.
x-3le-8
x-3le-8
xle-5
x/-8>2
x/-8>2
x<-16
12.6x+8.3<-4.3
12.6x+8.3<-4.3
x<-1
The Martins have a sedan and a minivan. The difference in mileage of the two vehicles is greater than 4,500 miles. The minivan has 12,755.25 miles and has less miles than the sedan. Determine the possible number of miles on the sedan. Write an inequality, solve and interpret the solution.
x-12,755.25>4,500
x>17,255.25
The number of miles on the sedan is more than 17,255.25 miles.
A bakery has 45 loaves of bread. Every hour, it sells 12 loaves of bread. They want to have at least 9 loaves left for a customer who ordered online. Write and solve an inequality to determine how long the bakery can sell bread. Then interpret the solution.
45-12xge9
xle3
The bakery can sell bread for at most 3 hours.
3le1 1/3+x
3le1 1/3+x
xge1 2/3
x/4>1.6
x/4>1.6
x>6.4
9-x<10
9-x<10
x> -1
In an online game, you receive -5 points for every banana your character slips on during a race. The total points from slipping on bananas during the race was at most -25. Write and solve an inequality to find the least number of bananas your character slipped on.
-5xle-25
xge5
He slipped on at least 5 bananas.
Emmett has $52.00 in his wallet. He rents a bicycle to travel around the city for $4.50 per hour. Emmett wants to have at least $25.00 left after the bicycle rental. Write and solve an inequality to determine how long Emmett can rent the bicycle. Then interpret the solution.
52.00-4.50xge25.00
xle6
Emmett can rent the bicycle for at most 6 hours.
x+7.5> -3.5
x+7.5> -3.5
x> -11
-12le-3x
-12le-3x
xle4
1/3x-5/6ge-7/12
1/3x-5/6ge-7/12
xge3/4
Josie wants to make several batches of rolls. She has 13 tablespoons of yeast left in the jar and each batch of rolls takes 3 1/4 tablespoons. Determine the number of batches of rolls Josie can make. Write, solve and interpret the inequality.
3 1/4xle13
xle4
Josie can make at most 4 batches.
The distance between James and his destination is at most 850 miles. If he is driving at a speed of 70mph and has traveled 150 miles, in how many hours can he expected to be at his destination, assuming that his speed will remain constant?
150+70xle850
xle10
He will be there in 10 hours or less.