Understanding Inequalities

The video reviews inequality concepts learned in sixth grade, focusing on understanding inequality signs, special words like 'at least' and 'at most', and graphing inequalities on a number line. It provides tips for graphing when variables are positioned differently and encourages students to practice using the provided resources.

What symbol represents a value that is greater than another?

• Less than sign

• Equal sign

• Not equal sign

• Greater than sign

In word problems, what phrase is often used to indicate 'greater than or equal to'?

• No more than

• Exactly

• At least

• At most

How do you represent 'less than or equal to' on a number line?

• Arrow pointing left

• Closed circle

• Open circle

• Arrow pointing right

When graphing x > 5, which direction should you shade on the number line?

• Do not shade

• Both directions

• To the right

• To the left

What is the 'pointer' trick used for in graphing inequalities?

• To determine the variable

• To decide the shading direction

• To calculate the slope

• To find the midpoint

Why is it important for the variable to come first when using the 'pointer' trick?

• It changes the inequality direction

• It allows the trick to work correctly

• It makes the inequality true

• It helps in solving equations

If 7 is less than or equal to b, how should you rewrite it to use the 'pointer' trick?

• 7 is greater than b

• b is greater than or equal to 7

• b is less than or equal to 7

• b is equal to 7

What should you do if an inequality is written backwards?

• Leave it as is

• Change the inequality sign

• Rewrite it with the variable first

• Ignore the inequality

How do you graph w ≤ -5 on a number line?

• Open circle at -5, shade right

• Closed circle at -5, shade left

• Open circle at -5, shade left

• Closed circle at -5, shade right

What is the purpose of rewriting inequalities?

• To eliminate variables

• To use the 'pointer' trick

• To change the solution

• To make them more complex