Understanding Inequalities and Their Graphs

This video tutorial covers the basics of writing, solving, and graphing inequalities. It begins with an introduction to the concept of inequalities and the symbols used to represent them. The tutorial then explains how to write inequalities from word sentences and solve them by finding solutions that make the inequality true. It also covers graphing inequalities on a number line, using open and closed circles to represent solutions. The video concludes with practice problems to reinforce the concepts learned.

What does the prefix 'in' in 'inequality' signify?

• Equal

• Not

• Greater

• Less

Which symbol represents 'less than or equal to'?

• >=

• <=

• >

• <

If a sentence says 'a number is at least 10', which inequality symbol should be used?

• >=

• >

• <

• <=

What is the solution set of an inequality?

• All values that make the inequality true

• The smallest value that satisfies the inequality

• A single value that satisfies the inequality

• The largest value that satisfies the inequality

Which of the following is true for the inequality x + 2 <= -1 when x = -3?

• The inequality is equal

• The inequality is undefined

• The inequality is true

• The inequality is false

How do you determine if a value is a solution to an inequality?

• By graphing the inequality

• By using a calculator

• By comparing it to zero

• By substituting the value into the inequality

What is the result of substituting -2 into the inequality y - 5 >= -6?

• False

• Cannot be determined

• True

• Depends on y

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

• The inequality is not strict

• The inequality is strict

• The number is a solution

• The number is not a solution

When graphing the inequality t >= -15, which direction should the arrow point?

• Up

• Right

• Left

• Down

What does an open circle on a number line represent?

• The number is included in the solution

• The number is not included in the solution

• The inequality is equal

• The inequality is not equal