Solving and Graphing Inequalities with Interval Notation

What does the inequality sign '>' mean?

• Less than

• Greater than

• Equal to

• Less than or equal to

When reading an inequality with a variable, from which side should you start?

• From the variable

• From the right

• From the number

• From the left

What symbol is used to represent 'greater than or equal to'?

• <

• <=

• >

• >=

How do you represent the solution of x > 4 on a number line?

• Closed circle at 4, shading to the right

• Open circle at 4, shading to the right

• Open circle at 4, shading to the left

• Closed circle at 4, shading to the left

What is the interval notation for x > 4?

• (4, ∞]

• [4, ∞]

• (4, ∞)

• [4, ∞)

When solving an inequality with variables on both sides, what is the first step?

• Combine like terms

• Isolate the variable on one side

• Graph the solution

• Write the solution in interval notation

What does a closed circle on a number line indicate?

• The value is included in the solution

• The value is not included in the solution

• The value is greater than the solution

• The value is less than the solution

What must you do when you multiply or divide both sides of an inequality by a negative number?

• Keep the inequality sign the same

• Flip the inequality sign

• Subtract the same number from both sides

• Add the same number to both sides

How do you represent the solution of q > -5 on a number line?

• Closed circle at -5, shading to the right

• Closed circle at -5, shading to the left

• Open circle at -5, shading to the left

• Open circle at -5, shading to the right

What is the interval notation for k ≤ -16?

• (-16, ∞)

• [-16, ∞)

• (-∞, -16)

• (-∞, -16]