Exploring Writing and Graphing Inequalities

The video tutorial covers lesson 4.1 on writing and graphing inequalities. It begins with an introduction to inequalities, explaining the four key symbols used in mathematical sentences. The tutorial then demonstrates how to write inequalities from word sentences and discusses the concept of solutions and solution sets. It provides examples to check if a number is a solution to an inequality and concludes with instructions on graphing inequalities on a number line, highlighting the use of open and closed circles.

Which symbol represents 'less than' in inequalities?

• >

• <

• ≤

• ≥

What does the symbol '≥' signify in inequalities?

• Less than

• Greater than

• Less than or equal to

• Greater than or equal to

How would you write the word sentence 'a number Q plus 5 is greater than or equal to negative 7.9' as an inequality?

• Q + 5 < -7.9

• Q + 5 > -7.9

• Q + 5 ≤ -7.9

• Q + 5 ≥ -7.9

If a number X is at most negative 10, which inequality represents this?

• X ≥ -10

• X > -10

• X ≤ -10

• X < -10

What is a solution of an inequality?

• A value that makes the inequality equal

• Any random value

• A value that makes the inequality true

• A value that makes the inequality false

Which of the following values is part of the solution set for the inequality X + 2 ≤ -1 if X is -3?

• Yes, because -3 + 2 = -2

• No, because -3 + 2 = 0

• No, because -3 + 2 = -1

• Yes, because -3 + 2 = -1

Is -2 a solution for the inequality -2 - 5 ≥ -6?

• No, because -7 is not greater than -6

• Yes, because -7 is equal to -6

• Yes, because -7 is greater than -6

• No, because -7 is less than -6

For the inequality -5.5 * -2 < 14, is 11 less than 14?

• Yes, because 11 is less than 14

• No, because 11 is not a solution

• Yes, because 11 is equal to 14

• No, because 11 is greater than 14

When graphing the inequality Y > -8, what type of circle is used on the number line?

• No circle

• Open circle

• Half circle

• Closed circle

In graphing inequalities, what does a closed circle represent?

• Greater than

• Greater than or equal to

• Less than

• Less than or equal to