Exploring Writing and Graphing Inequalities

What is the purpose of using inverse operations when solving equations?

• To make the equation more complex

• To isolate the variable

• To change the equation's solution

• To add more variables

Which inequality symbol represents 'less than'?

• <=

• >=

• <

• >

What does the symbol '≤' mean?

• Greater than or equal to

• Less than or equal to

• Greater than

• Less than

In the context of graphing inequalities, what does an open circle represent?

• A solution

• Not a solution

• An equation

• A variable

What does a closed circle on a number line indicate when graphing inequalities?

• The number is a solution

• The number is a variable

• The number is an equation

• The number is not a solution

How would you translate the phrase 'a number n is greater than 5' into an inequality?

• n ≥ 5

• n ≤ 5

• n > 5

• n < 5

Which phrase corresponds to the inequality symbol '≥'?

• Greater than or equal to

• Less than or equal to

• Greater than

• Less than

If b + 4 < 6 and b = 3, is the inequality true?

• No, because 3 is not less than 6

• Yes, because 3 is less than 6

• No, because 7 is not less than 6

• Yes, because 7 is less than 6

What is the first step in graphing the inequality 'a < 4' on a number line?

• Draw a number line with arrows

• Number the middle of the number line

• Shade the number line

• Circle the number 4

When graphing the inequality 'f ≤ 7', which direction should you shade?

• To the right of 7

• Both directions

• To the left of 7

• Do not shade