Comparing Numbers
Determine if this statement is true or false.
0 > -5
True
Graph x < 2
open dot on 2 with arrow pointing left
Translate the sentence into an inequality.
x is less than or equal to 20
x < 20
Define the variable AND write an inequality to model each situation.
A charity organization wants to raise at least $5000 for a local shelter.
x = money for shelter
x > 5000
Graph this compound inequality.
4 < x < 8
open dot at 4 and 8 with a line in-between the dots
Determine if each statement is true or false.
8 < -4
False
Graph x > 4
open for at 4 with arrow pointing right
y decreased by 5 is more than 10
y - 5 > 10
Define the variable AND write an inequality to model each situation.
The local amusement park has a height restriction for their new roller coaster. You must be at least 54 inches tall to ride.
x = how tall someone can be
x > 54
Graph the compound inequality.
-2 < x < 4
closed dot at -2 and open dot at 4 then a line in between
Determine is each statement is true or false.
7 > 7
True
Graph x < 8
Closed dot on 8 with an arrow to the left
Translate the equation into an inequality.
twice a number is at most 50
2x < 6
Define the variable AND write an inequality to model each situation.
The temperature in a refrigerator must stay below 40°F to keep food safe.
x = temperature of fridge
x < 40
Graph the compound inequality.
x < 4 or x > 7
open dot at 4 with a line going to the left and an open dot at 7 with a line going to the right
Write a true inequality using less than.
Something like 4<6 but it could be a lot of other answers
Graph 6 < x
open dot on 6 with arrow going to the right
Translate the following sentence into an inequality.
a number divided by 2 is at least 6
x/2 > 6
Define the variable AND write an inequality to model each situation.
To be eligible for a senior discount at a restaurant, a customer must be 65 years or older.
x = age
x > 65
Graph the compound inequality
x < -2 or x >9
open dot at -2 with a line going to the left and an closed dot at 9 with a line going to the right
How can you change this statement to make it true?
-7 > -1
Switch the inequality.
Graph 3 > x
Translate the sentence into an inequality.
The sum of twice a number and 5 is fewer than the product of the number and 9
2x + 5 < 9x
Define the variable AND write an inequality to model each situation.
Maria has a $50 gift card to a book store. She wants to buy one hardcover book that costs $22 and multiple paperback books that cost $8 each.
x = how many paperback books
22 + 8x < 50
Graph the compound inequality.
x < 4 or x < 7
open dot at 7 with a line going to the left