Solving Two Step Inequalities Effectively

The video tutorial covers solving and graphing two-step inequalities. It begins with an introduction to the concept, followed by four examples demonstrating how to solve and graph inequalities on a number line. Each example includes step-by-step instructions, highlighting common mistakes and tips for correctly solving inequalities. The tutorial emphasizes the importance of maintaining the inequality sign and correctly graphing the solution set.

What is the primary focus of the assignment discussed in the video?

• Graphing linear equations

• Learning about quadratic equations

• Solving and graphing two-step inequalities

• Understanding algebraic expressions

What should you do first when solving the inequality 4x + 7 > -25?

• Divide both sides by 4

• Multiply both sides by 4

• Add 7 to both sides

• Subtract 7 from both sides

After subtracting 7 from both sides in the inequality 4x + 7 > -25, what is the resulting expression?

• 4x > -32

• 4x > -18

• 4x < -32

• 4x < -18

Why do you not need to flip the inequality sign when dividing by 4 in the example 4x > -32?

• Because the inequality is already correct

• Because division does not affect the inequality

• Because 4 is a negative number

• Because 4 is a positive number

What type of circle is used to represent x > -8 on a number line?

• Dotted circle

• Closed circle

• Open circle

• No circle

When solving the inequality -3x + 5 < -1, why must the inequality sign be flipped?

• Because you divide by a negative number

• Because you multiply by a negative number

• Because you add a negative number

• Because you subtract a negative number

What is the solution to the inequality -3x + 5 < -1 after all operations?

• x > 2

• x < 2

• x < -2

• x > -2

In the inequality 113 ≤ 6x - 11, what operation is performed first?

• Add 11 to both sides

• Multiply both sides by 6

• Subtract 11 from both sides

• Divide both sides by 6

What is the final form of the inequality after solving 113 ≤ 6x - 11?

• x ≥ 4

• x ≤ 4

• x ≤ 6

• x ≥ 6

How is the solution graphically represented when an inequality includes 'or equal to'?

• With no circle

• With a double circle

• With an open circle

• With a filled circle