Graphing and Solving Inequalities

This video tutorial covers the final lesson in Unit 2, focusing on solving and graphing inequalities. It begins with a review of previous concepts related to equations, followed by an introduction to inequalities. The lesson explains how to represent inequalities using variables and graph them on a number line. It also covers the rules for solving inequalities, including the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial includes practice problems to reinforce the concepts taught.

Noel starts with $59 and ends with $200. How much did she save?

• $100

• $141

• $200

• $59

If a number x is less than 2, which of the following could be x?

• 4

• 1

• 2

• 3

Which inequality sign represents 'less than'?

• ≤

• ≥

• >

• <

How do you represent that a number x is less than 2 on a number line?

• Shade to the right of 2

• Put a closed circle on 2

• Put an open circle on 2 and shade to the right

• Shade to the left of 2

What does a closed circle on a number line indicate?

• The number is less

• The number is greater

• The number is included

• The number is excluded

Charlie makes $12 an hour and wants to earn at least $600. How many hours does he need to work?

• 50 hours

• 40 hours

• 30 hours

• 60 hours

When solving inequalities, what must you do if you multiply or divide by a negative number?

• Subtract a positive number

• Flip the inequality sign

• Keep the inequality sign the same

• Add a positive number

If -4t ≥ -8, what is the value of t?

• t ≤ -2

• t ≥ -2

• t ≥ 2

• t ≤ 2

What does the inequality x > 1 look like on a number line?

• Closed circle on 1, shade to the left

• Open circle on 1, shade to the left

• Closed circle on 1, shade to the right

• Open circle on 1, shade to the right

If a graph shows an open circle at 0 and shading to the left, what is the inequality?

• x ≥ 0

• x > 0

• x ≤ 0

• x < 0