Notation
The "fewer than" symbol.
<
2y+2=0
y=-1
x - 6 > -6
x > 0
Shanice had $20 to spend on seven raffle tickets. After buying them she had $6. Write an equation to find how many raffle tickets Shanice bought.
20 - 7x = 6
12 times a number x, subtracted from 34, is greater than 8.
<=
3x+2=10
x=
8/3
5x + 8 > 3
x > -1
Sam and Alex play in the same soccer team.
Last Saturday Alex scored 3 more goals than Sam, but together they scored less than 9 goals. Write an equation to express how many goals were scored.
2x + 3 < 9
Skate Land charges a $50 flat fee for birthday party rental and $5.50 per person. Joann has no more than $100 to spend on the birthday party. Write an inequality to find how many people Joan can invite to the party.
5.50x + 50 < 100
at least
>=
-y-5=-9y+11
y=2
x + 4 < 10x + 7
-1/3<x
Cody spent half of his weekly allowance on candy. To earn more money his parents let him wash the car for $7. Write an equation to find Cody's weekly allowance if he ended with $17.
x/2 +7=17
Chris wants to order DVDs over the internet. Each DVD costs $15.99 and shipping for the entire order is $9.99. Chris has no more than $100 to spend. Write an equality which represents Chris' situation.
15.99x + 9.99 < 100
not
!=
3 - 8x = 6x + 6
x=
-3/14
-5x - 3 > -8
x < 1
The cost of renting a bike is 10$ to take the bike and 4$ for every hour it spends in your possession. The final sum Janice paid is $30. Create an equation to determine how long Janice rented the bike.
4x+10=30
Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, but the current group of passengers weighs a total of 750 kilograms. Write an inequality for Renna to use to find how many 70-kilogram passengers need to get off the elevator.
450>=750-70x
Not as little as
-20x - 4 = 7 - 4x
x=-11/16
-9x - 6 < -5x + 6
x > -3
The sum of three consecutive odd numbers is 93. Write an equation to find the smallest of these numbers. (HINT: any odd number is 2x+1)
6x + 9 = 93
Of 8 pups, there are more girls than boys. Write an inequality to express how many girl puppies there could be.
g > 8 - g