This video tutorial covers the basics of writing and graphing inequalities. It explains the symbols used in inequalities, how to determine solution sets, and how to graph these on a number line. The tutorial also provides guidance on converting sentences into inequalities and checking if a value is a solution. Key phrases associated with inequality symbols are discussed, and exercises are provided to practice these concepts.

What is an inequality in mathematics?

• A sentence that shows the equality of two expressions.

• A sentence that only uses multiplication and division.

• A sentence that compares expressions using symbols like <, >, ≤, or ≥.

• A sentence that only uses addition and subtraction.

Tags

CCSS.6.EE.B.8

Which symbol represents 'greater than'?

• ≤

• ≥

• >

• <

Tags

CCSS.6.EE.B.8

How is the solution set of x < 2 represented on a number line?

• A closed circle at 2 with shading to the left.

• An open circle at 2 with shading to the left.

• A closed circle at 2 with shading to the right.

• An open circle at 2 with shading to the right.

Tags

CCSS.6.EE.B.8

What does a closed circle on a number line indicate?

• The number is not part of the solution set.

• The inequality is strict.

• The inequality is not strict.

• The number is part of the solution set.

Tags

CCSS.6.EE.B.8

Which phrase can be used for the symbol '≤'?

• Is at least

• Is at most

• Is fewer than

• Is more than

Tags

CCSS.6.EE.B.8

How would you write '12 is greater than or equal to 5 times a number n' as an inequality?

• 12 < 5n

• 12 ≤ 5n

• 12 ≥ 5n

• 12 > 5n

Tags

CCSS.6.EE.B.8

What does the word 'difference' indicate in an inequality?

• Multiplication

• Subtraction

• Addition

• Division

Tags

CCSS.7.EE.B.4B

If 19 is substituted for d in the inequality d - 7 < 12, is 19 a solution?

• Yes, because 19 - 7 is greater than 12.

• No, because 19 - 7 is equal to 12.

• Yes, because 19 - 7 is less than 12.

• No, because 19 - 7 is not equal to 12.

Tags

CCSS.6.EE.B.5

How would you graph the inequality x > -1 on a number line?

• An open circle at -1 with shading to the left.

• A closed circle at -1 with shading to the left.

• An open circle at -1 with shading to the right.

• A closed circle at -1 with shading to the right.

Tags

CCSS.6.EE.B.8

What inequality represents a graph with an open circle at 0 and shading to the left?

• x ≤ 0

• x < 0

• x ≥ 0

• x > 0

Tags

CCSS.6.EE.B.8