Solving Inequalities
4x + 2 > 18
x > 4
10 - 3x < 28
x > 6
Five less than three times a number is greater than 13. Write the given inequality.
3x-5>13
Elisa won 40 lollipops playing basketball at the school fair.
She gave two to every student in her math class. She has at least 7 lollipops left.
Write a statement for lollipops where x is the number of students in class.
40-7x>=7
Name at least two similarities between the process of solving equations and solving inequalities.
Do the same thing to both sides
Isolate the variable
Work backwards
Use inverse operations
7 - 3x < 10
x > -1
18 > 9x + 9
x > 1
Amanda rented a bike from Shawna's Bikes. They charged her $2 per hour, plus a $10 fee. Amanda paid less than $27. Write an inequality to represent the situation.
2x+10<27
More than 450 students went on a field trip. Ten buses were filled and 5 more students traveled in a car.
Write a statement to find the expected number of students on a bus.
10x+5>450
Name at least 2 differences between inequalities and equations.
Different symbols
Different key words
Different number of possible solutions
2(x + 4) + x < 32
x < 8
-8x + 7x -15 < -16
x > 1
An online music club has a one-time registration fee of $13.95 and charges $.49 to buy each song. Emma has at most $50.00 to join the club and buy songs.
Write an inequality to represent this situation.
13.95+.49x<=50
A student had $45 when she went to the mall. She spent $9 on a pair of earrings. Then she wants to buy some CDs that cost $12 each.
Write an inequality to for how many CDs she can buy.
9+12x<=45
When do you 'flip' the inequality sign when you are solving an inequality?
-3x - 4(x - 11) > 65
x < -3
6 - 4(6x + 7) > 122
x < -6
Jaquan begins his kindergarten year being able to spell 10 words. He is going to learn to spell 2 new words every day. Write an inequality that can be used to determine how many days, d, it takes Jaquan to be able to spell at least 75 words.
10+2x>=75
Bill spent less than $26 on a magazine and five composition books. The magazine cost $4.
Write a cost statement with n composition books.
5n+4<26
What are the 4 inequality symbols?
<
>
<
>
-5 - 2(x - 2) < 21
x > -11
4(6 + 3x) + 13 > 127
x > 7.5
Kate has $45 to spend at the fair. She spends $20 on admission and $15 on snacks. She wants to play a game that costs $.65 per game. Write an inequality to find the maximum number of times, x, Kate can play the game.
35+0.65x<=45
People must be at least sixteen years old in order to get their driver’s license.
Write an inequality to represent this situation.
x>=16
What temperature is it in the classroom RIGHT NOW?
[see thermostat]