Solving One-Variable Inequalities

This video tutorial covers solving inequalities with one variable. It begins with an introduction to inequalities and the symbols used to represent them. The lesson then explains how to solve inequalities using the SADMEP method, emphasizing the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial also covers graphing inequalities on a number line, including the use of open and closed circles. It addresses inequalities with multiple variables and special cases where inequalities have all or no solutions. The lesson concludes with practical examples and encourages students to practice on their own.

Which symbol represents 'less than' in inequalities?

• <

• >

• ≥

• ≤

What is the inequality symbol for 'greater than or equal to'?

• ≥

• ≤

• >

• <

What should you do to the inequality sign when you multiply or divide both sides by a negative number?

• Subtract 1 from it

• Add 1 to it

• Flip it

• Keep it the same

When graphing the inequality x > 3, what type of circle should be used at 3?

• Closed circle

• Open circle

• No circle

• Shaded circle

In the inequality x ≤ -2, which direction should the arrow point on the number line?

• Upwards

• Downwards

• To the left

• To the right

What is the first step when solving the inequality -4(3x - 1) + 6 ≥ 16?

• Distribute -4

• Divide by -4

• Add 6 to both sides

• Subtract 6 from both sides

If you have the inequality 2x + 19 ≥ -7, what is the next step after subtracting 19 from both sides?

• Divide both sides by 2

• Subtract 2 from both sides

• Multiply both sides by 2

• Add 19 to both sides

When solving the inequality 3x - 5 < 2x + 4, what is the first step?

• Add 5 to both sides

• Subtract 2x from both sides

• Multiply both sides by 3

• Divide both sides by 2

What does it mean if, after solving an inequality, you get a true statement like 15 > 9?

• Some solutions

• All solutions

• One solution

• No solutions

In a word problem, if florist A charges $4.75 per rose plus a $40 delivery fee, and florist B charges $5.15 per rose plus a $25 delivery fee, for what number of roses is it cheaper to order from florist A?

• 38 or more

• 37 or less

• 40 or more

• 35 or less