Exploring Adding and Subtracting Rational Expressions

This video tutorial covers the basics of inequalities, including the use of inequality symbols, translating verbal statements into inequalities, determining solutions, and graphing inequalities on a number line. It explains the use of open and closed circles for graphing and provides examples to illustrate each concept.

Which symbol represents 'greater than or equal to'?

• ≤

• >

• ≥

• <

How would you write 'a number is less than 17' as an inequality?

• x ≤ 17

• x ≥ 17

• x < 17

• x > 17

What is the correct inequality for 'a number is at least -3'?

• x > -3

• x < -3

• x ≤ -3

• x ≥ -3

What is the inequality for 'a number is no more than 1/2'?

• x > 1/2

• x < 1/2

• x ≤ 1/2

• x ≥ 1/2

If x = 20, is it a solution to the inequality x > 16?

• Cannot be determined

• Maybe

• No

• Yes

Which of the following is true for the inequality P ≤ 5 when P = 8?

• 8 ≤ 5

• 8 = 5

• 8 > 5

• 8 ≥ 5

If n = 3.089, is it a solution to the inequality n ≤ 3.1?

• Cannot be determined

• Maybe

• No

• Yes

What type of circle is used to graph x > 4 on a number line?

• Open circle

• Closed circle

• Dotted circle

• Shaded circle

How would you graph the inequality x ≤ 500 on a number line?

• Open circle at 500, arrow pointing left

• Closed circle at 500, arrow pointing left

• Open circle at 500, arrow pointing right

• Closed circle at 500, arrow pointing right

How do you graph the inequality x < 5?

• Open circle at 5, arrow pointing left

• Closed circle at 5, arrow pointing left

• Closed circle at 5, arrow pointing right

• Open circle at 5, arrow pointing right