Basic Concepts
What is the operation needed to undo addition when solving x + 5 < 12?
Subtraction
Solve the inequality: x - 7 > 4.
x > 11
Convert the fraction 1/2 to a decimal.
0.5
You have $15 and want to buy several pens costing $2 each. Write an inequality to represent this situation
2x ≤ 15
Solve the inequality: 2x + 5 < 15
x < 5
What is the type of number set where solutions of inequalities are often found, which includes numbers like -3, 0, and 5
Integers
Solve for x: x/5 ≤ 2.
x ≤ 10
When 3 cups of sugar are needed for 12 cookies, how many cups are needed for 24 cookies?
6 cups
A car travels at least 50 miles per hour for a trip. Write an inequality that represents this speed.
x ≥ 50
What is the solution to: -3(x - 2) ≥ 9?
x ≤ -1
In the inequality 3x > 9, what is the operation you perform to isolate x.
Division
The solution to the inequality: 4x < 20.
x < 5
Find the perimeter of a square with side lengths of 6.
24 units
If a container holds a maximum of 10 liters, create an inequality to show how much liquid, x, it can carry
x ≤ 10
Solve: 5x - 4 ≤ 3x + 8
x ≤ 6
An inequality symbol that indicates 'less than or equal to'.
≤
Find x when the inequality is x + 9 ≥ 13
x ≥ 4
Simplify the expression: 2x + 3 + 5x.
7x + 3
Create an inequality for a monthly budget constraint where spending, s, should be less than or equal to $200.
s ≤ 200
Determine the solution to the inequality: -2(3x - 1) < 4
x > 3
What is the result of reversing inequality symbols when this operation is performed on both sides of an inequality?
Multiplication or Division by a negative number
Determine the solution for: 6 - 2x ≥ 10.
x ≤ -2
A map has a scale of 1 inch to 50 miles. How many miles do 3 inches represent?
150 miles
If a student's study time, t, must be at least 3 hours per day across 5 days, write an inequality for the total study time.
t ≥ 15
Find x for the inequality: 4(2x + 1) > 3(x + 5).
x > 2