Understanding Linear Inequalities

What does the symbol '≤' represent in inequalities?

• Greater than or equal to

• Greater than

• Less than or equal to

• Less than

Which of the following is a true statement?

• 7 is less than 7

• 7 is greater than 7

• 7 is greater than or equal to 7

• 7 is less than or equal to 6

How would you represent the inequality x > 3 on a number line?

• Shade to the left of 3 with an open circle at 3

• Shade to the right of 3 with an open circle at 3

• Shade to the left of 3 with a closed circle at 3

• Shade to the right of 3 with a closed circle at 3

What does a closed circle on a number line indicate?

• The number is not included in the solution

• The number is included in the solution

• The number is less than the solution

• The number is greater than the solution

Which symbol is used to indicate that a number is not part of the solution set?

• Bracket

• Closed circle

• Open circle

• Dot

What happens when you add the same number to both sides of an inequality?

• The inequality symbol changes to an equal sign

• The inequality becomes false

• The inequality remains true

• The inequality symbol must be reversed

If you multiply both sides of an inequality by a positive number, what happens?

• The inequality symbol changes to an equal sign

• The inequality remains true

• The inequality becomes false

• The inequality symbol must be reversed

What must you do when multiplying both sides of an inequality by a negative number?

• Add a positive number to both sides

• Keep the inequality symbol the same

• Subtract a positive number from both sides

• Reverse the inequality symbol

Which operation requires reversing the inequality symbol?

• Multiplying by a negative number

• Subtracting a positive number

• Dividing by a positive number

• Adding a positive number

What is the key difference between solving linear equations and inequalities?

• You must always use brackets in inequalities

• You cannot add numbers to inequalities

• You must reverse the inequality symbol when multiplying or dividing by a negative number

• You cannot subtract numbers from inequalities