Writing and Graphing Inequalities: Key Concepts and Examples

What is an inequality?

• A mathematical sentence that only uses addition.

• A mathematical sentence that solves equations.

• A mathematical sentence that compares expressions.

• A mathematical sentence that only uses subtraction.

Which symbol represents 'less than'?

• >

• <

• ≥

• ≤

How would you write 'a number c is less than negative four' as an inequality?

• c ≤ -4

• c ≥ -4

• c < -4

• c > -4

Which phrase indicates the use of the 'greater than or equal to' symbol?

• Less than

• Greater than

• Less than or equal to

• Greater than or equal to

How would you write 'a number k plus 5 is greater than or equal to 8' as an inequality?

• k + 5 < 8

• k + 5 > 8

• k + 5 ≤ 8

• k + 5 ≥ 8

Which symbol represents 'less than or equal to'?

• ≥

• ≤

• <

• >

How would you write 'four times a number q is at most sixteen' as an inequality?

• 4q ≥ 16

• 4q > 16

• 4q < 16

• 4q ≤ 16

Which phrase indicates the use of the 'greater than' symbol?

• Less than or equal to

• Less than

• Greater than

• Greater than or equal to

How would you write 'a number n is greater than one' as an inequality?

• n < 1

• n ≥ 1

• n > 1

• n ≤ 1

What is the key phrase for the inequality symbol '≤'?

• Less than

• Greater than

• Less than or equal to

• Greater than or equal to