Solving One-Step Inequalities

What is an inequality?

• A mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

• A type of equation that shows equality between two expressions.

• A graphical representation of a function.

• A method for solving linear equations.

What does the symbol '>' mean in an inequality?

• 'less than'

• 'equal to'

• 'greater than'

• 'not equal to'

What does the symbol '<' mean in an inequality?

• 'greater than'

• 'equal to'

• 'less than'

• 'not equal to'

If x + 9 > 21 is true for x = 15, what does that imply?

• It implies that 15 + 9 = 24, which is greater than 21.

• It implies that 15 + 9 = 20, which is less than 21.

• It implies that 15 + 9 = 30, which is greater than 21.

• It implies that 15 + 9 = 21, which is equal to 21.

Does the sign need to flip when solving 8y < -40?

• Yes, the sign needs to flip because you are dividing by a negative number.

• No, the sign does not need to flip because you are dividing by a positive number.

• Yes, the sign needs to flip regardless of the number you are dividing by.

• No, the sign does not need to flip if you are multiplying by a positive number.

What does the symbol '≥' mean in an inequality?

• Less than

• Greater than

• Greater than or equal to

• Equal to

What does the symbol '≤' mean in an inequality?

• Less than

• Greater than

• Less than or equal to

• Equal to

What is the solution to the inequality 4x + 8 ≥ 24?

• x ≥ 2

• x ≥ 3

• x ≥ 4

• x ≥ 5

What does it mean if an inequality sign flips when solving?

• It flips when you add a positive number to both sides.

• It flips when you multiply or divide both sides by a negative number.

• It flips when you subtract a negative number from both sides.

• It flips when you square both sides of the inequality.

What is the solution to the inequality 2x - 3 < 7?

• x < 3

• x < 4

• x < 5

• x < 6