Understanding Inequalities in One Variable

This video tutorial covers the basics of inequalities in one variable, explaining the different inequality symbols and their meanings. It demonstrates how to determine if a number is a solution to an inequality and how to graph these solutions on a number line. The tutorial also includes real-world examples to illustrate the application of inequalities in everyday situations.

Which symbol represents 'less than or equal to'?

• <

• ≥

• >

• ≤

If 4 is substituted for x in the inequality x > 1, is 4 a solution?

• Yes, because 4 is greater than 1

• No, because 4 is not greater than 1

• Yes, because 4 is equal to 1

• No, because 4 is less than 1

What does an open point on a number line indicate?

• The interval is infinite

• The number is included in the interval

• The number is not included in the interval

• The interval is finite

How is the interval (2, ∞) represented on a number line?

• With a square bracket at 2

• With a closed point at ∞

• With a closed point at 2

• With an open point at 2

What does the inequality x > 2 mean in terms of graphing?

• Graph to the left of 2

• Exclude 2 from the graph

• Graph to the right of 2

• Include 2 in the graph

What does a square bracket indicate in interval notation?

• The interval is undefined

• The interval is infinite

• The number is included

• The number is not included

In the inequality x ≤ 2, how is the number 2 represented on a number line?

• With a parenthesis

• With a dashed line

• With a closed point

• With an open point

Which of the following is true for the inequality x ≥ 2?

• x is less than or equal to 2

• x is less than 2

• x is equal to 2

• x is greater than 2

If a child must be taller than 48 inches to ride, how is this represented as an inequality?

• H ≤ 48

• H ≥ 48

• H < 48

• H > 48

Jordan can spend at most $10 on lunch. Which inequality represents this situation?

• L > 10

• L < 10

• L ≥ 10

• L ≤ 10