Exploring Inequalities in Mathematics

What does an inequality represent?

• A comparison showing two quantities are equal

• A method for solving quadratic equations

• A formula for calculating the area of a circle

• A comparison showing two quantities are not equal

What symbol indicates a number is less than or equal to another number?

• <

• >

• <=

• >=

Which of the following is a correct representation of an algebraic inequality?

• X^2 = 4

• X + 5 > 10

• X/2 = 4

• 2X = 10

How is an open circle used when graphing inequalities?

• To indicate the number is included in the solution set

• To represent a variable in the inequality

• To show the number is not included in the solution set

• As a placeholder for zero

What does a closed circle on a number line indicate?

• The number is included in the solution set

• The variable is less than the number

• The variable is greater than the number

• The number line is infinite

What is the correct way to graph 's is greater than or equal to -1' on a number line?

• Open circle on -1, arrow to the right

• Closed circle on -1, arrow to the right

• Open circle on -1, arrow to the left

• Closed circle on -1, arrow to the left

How do you represent 'X is greater than or equal to 7' on a number line?

• With an open circle on 7 and an arrow pointing left

• With a closed circle on 7 and an arrow pointing left

• With an open circle on 7 and an arrow pointing right

• With a closed circle on 7 and an arrow pointing right

When solving inequalities, what must you do if you multiply or divide both sides by a negative number?

• Do nothing

• Flip the inequality sign

• Subtract 1 from both sides

• Add 1 to both sides

If you have the inequality 'X + 3 > 4', what is X?

• X < 1

• X = 1

• X > 1

• X > 7

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

• It flips direction

• It becomes an equals sign

• It disappears

• It remains unchanged