Understanding Single Variable Inequalities

What is a single variable inequality?

• A mathematical expression with only numbers

• An equation with one variable and an inequality symbol

• A statement with no variables

• An equation with two variables

Which of the following is NOT a common inequality symbol?

• Greater than

• Greater than or equal to

• Less than

• Equal to

What is the first step in solving the inequality 4 + x > 2?

• Add 4 to both sides

• Subtract 4 from both sides

• Divide both sides by 2

• Multiply both sides by 2

On a number line, what does the solution x > -2 represent?

• All numbers equal to -2

• All numbers less than -2

• All numbers greater than -2

• Only the number -2

If x = -1, does it satisfy the inequality x > -2?

• Yes, because -1 is equal to -2

• Yes, because -1 is greater than -2

• No, because -1 is not a number

• No, because -1 is less than -2

What happens to the inequality sign when you divide both sides by a negative number?

• It disappears

• It stays the same

• It flips direction

• It becomes an equal sign

In the inequality -3x > 9, what is the solution for x?

• x > 3

• x = -3

• x > -3

• x < -3

Why do we flip the inequality sign when dividing by a negative number?

• To keep the inequality true

• To make the inequality false

• To simplify the equation

• To eliminate the variable

What is the solution set for the inequality -3x > 9?

• x > -3

• x = 3

• x < -3

• x > 3

What is the main takeaway from solving single variable inequalities?

• Understanding the solution set

• Memorizing all possible solutions

• Ignoring the inequality sign

• Focusing only on positive numbers