Solving One-Variable Inequalities

The video tutorial covers solving and graphing inequalities, explaining different inequality symbols and their meanings. It demonstrates how to graph inequalities using open and closed circles and discusses the process of solving inequalities, including special cases like true and false statements. The tutorial concludes with a word problem example to apply the concepts learned.

Which symbol represents 'less than or equal to'?

• <

• ≥

• >

• ≤

Tags

CCSS.6.EE.B.8

What type of circle is used to graph 'x > -5'?

• Dashed circle

• Solid circle

• Open circle

• Closed circle

Tags

CCSS.6.EE.B.8

In the inequality 'n ≤ 3', which direction does the arrow point?

• Right

• Up

• Left

• Down

Tags

CCSS.7.EE.B.4B

What is the first step in solving the inequality 'x - 3 < 8'?

• Divide both sides by 3

• Multiply both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

Tags

CCSS.7.EE.B.4B

When solving 'x + 6 ≥ 10', what operation is used?

• Addition

• Subtraction

• Multiplication

• Division

Tags

CCSS.6.EE.B.8

What must you do when multiplying or dividing both sides of an inequality by a negative number?

• Keep the inequality symbol the same

• Flip the inequality symbol

• Add a negative sign to the result

• Subtract a negative sign from the result

Tags

CCSS.7.EE.B.4B

What is the solution to the inequality '2x - 3 < 11'?

• x < 7

• x > 5.5

• x < 5.5

• x > 7

What does it mean if an inequality results in a true statement like '15 > 9'?

• No solution

• Infinitely many solutions

• Cannot be determined

• One solution

Tags

CCSS.8.EE.C.7A

What does it mean if an inequality results in a false statement like '-5 < -6'?

• One solution

• No solution

• Cannot be determined

• Infinitely many solutions

Tags

CCSS.7.EE.B.4B

In the word problem, how many roses must be ordered for Florist A to be less expensive than Florist B?

• 39

• 37

• 40

• 38

Tags

CCSS.7.EE.B.4B