Inequalitites
-2<2x-4<8
1<x<6
A taxi charges a flat rate of $1.17 plus an additional $0.50 per mile. Jana has only $13.67 to spend on the ride. How many miles can she travel?
Write an inequality, solve it, and then write a sentence for your solution
0.50x + 1.17 < 13.67
Jana can travel 25 miles or less.
2x-2<-12 OR 2x+3>7
x<-5 OR x>2
Daniel has $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can do on?
Write an inequality, solve it, and then write your solution as a sentence.
1.5x + 4 < 25
The most rides he can go on is 14.
3 - 7x > 31 or 2(x -3) > -6
x < -4. or x > 0
You currently have $320 in your bank account. The minimum balance is $100.00. Write and solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance.
320 - 20x > 100
11 weeks or less.
-2<4x-10<10
2<x<5
The freshman class is putting on a variety show to raise money. It costs $700 to rent the facility that they are going to u se. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $1000?
Write an inequality, solve it, and then write your solution as a sentence.
15x - 700 > 1000
They must sell at least 114 tickets.
-39 < 0.5(10x - 18)<16
-6 < x < 5
-15 - 3|-2x + 10| < 15
infinite number of solutions
A soccer club plans to buy shirts for its team and supporters. ProV Graphics charges a $75 setup fee plus $7 per shirt. BT Designs has no setup fee but charges $10.50 per shirt. How many shirts does the team need to order for ProV Graphics to be the better option?
Write an inequality, solve it, and write the solution as a sentence.
7x + 75 < 10.5x
22 shirts or more