Understanding Inequalities and Their Graphical Representations

What does an inequality in mathematics represent?

• A formula for calculating area

• A comparison between two values

• A type of function

• A method for solving equations

Which symbol represents a value being less than another?

• <

• <=

• =

• >

How is 'x > 3' graphically represented on a number line?

• With a closed circle at 3

• With an open circle at 3

• With a line at 3

• With a square at 3

What does the open circle in a graph of an inequality indicate?

• The value is excluded

• The value is included

• The graph is incorrect

• The graph represents an equation

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

• Less than

• Greater than

• Greater than or equal to

• Not equal to

In graphing, what does a closed circle on a number line indicate?

• The number is not included in the set

• The set is empty

• The number is included in the set

• The set is infinite

If 'x ≤ -1', how would you graph this on a number line?

• Open circle at -1, shading to the left

• Closed circle at -1, shading to the left

• Closed circle at -1, shading to the right

• Open circle at -1, shading to the right

What is the correct graphical representation for 'x < 0'?

• Open circle at 0, shading left

• Closed circle at 0, shading left

• Open circle at 0, shading right

• Closed circle at 0, shading right

Which statement is true for the inequality 'x ≥ 5'?

• x can be 5 or any number greater than 5

• x excludes the number 5

• x can be any number less than 5

• x must be less than 5

Which inequality symbol includes the number it points at?

• ≥

• ≤

• >

• <