Exploring Inequalities in Mathematics

What is a common feature of both equations and inequalities?

• Both use the same signs.

• Both are made up of two expressions.

• Both always have a single solution.

• Both consist of a single expression.

How many signs are used in inequalities?

• One

• Four

• Two

• Three

What does a set of solutions in an inequality represent?

• All numbers making a false statement

• Only positive numbers

• Only one specific number

• All numbers making a true statement

Why do we use an open circle to graph 'x is less than 5'?

• To include 5 in the solution set

• To exclude 5 from the solution set

• To indicate an error in the graph

• To represent an infinite number of solutions

How do we verify the solution of an inequality on a graph?

• By moving the graph to the right

• By choosing a value within the shaded area

• By choosing a value outside the shaded area

• By shading the entire graph

What does a closed circle on a graph indicate?

• The graph is incorrect

• The number is excluded from the solution set

• The number is included in the solution set

• The solution set is empty

Why is it important to pick a value in the shaded area when proving an inequality?

• To confirm the starting point is correct

• To avoid true statements

• To make the graph look better

• To ensure the graph is shaded correctly

What should you do if the variable in an inequality is on the right-hand side?

• Flip the inequality and the sign

• Only use positive numbers

• Flip the inequality sign

• Leave it as it is

What does shading to the left on a graph indicate?

• The graph is incorrectly drawn

• The variable is equal to a number

• The variable is less than or equal to a number

• The variable is greater than a number

Which of the following is true about graphing inequalities?

• A closed point means the inequality includes 'equal to'

• Shading to the right indicates the variable is less than a number

• A closed point means the inequality does not include 'equal to'

• An open point means the inequality includes 'equal to'