Understanding Inequalities

The video tutorial explains how to solve a classic inequality by first distributing terms and simplifying the expression. It then focuses on moving variables to one side of the equation and solving the inequality. The tutorial also addresses why the inequality symbol does not flip in certain cases, emphasizing the conditions under which the symbol changes direction.

What is the first step in solving the given inequality?

• Isolating the variable

• Combining like terms

• Distributing the terms inside the parentheses

• Flipping the inequality symbol

What is the result of distributing 3 times X and 3 times 1?

• 3x + 3

• 3x + 1

• 3x + 5

• 3x + 7

After distributing, what is the next step in solving the inequality?

• Combining like terms

• Isolating the variable

• Subtracting constants

• Flipping the inequality symbol

What do you get when you combine 5x and -3x?

• 2x

• 8x

• 1x

• 3x

What operation is performed to isolate the variable X?

• Subtraction

• Division

• Multiplication

• Addition

What is the inequality after isolating the variable X?

• X = -2

• X < -2

• X ≥ -2

• X > -2

Why does the inequality symbol not flip in this problem?

• Because the variable is positive

• Because the constant is positive

• Because the sign of the number did not change

• Because the inequality is already solved

When does the inequality symbol flip?

• When the constant is subtracted

• When the sign of the number changes

• When the variable is isolated

• When the terms are combined

What is the final inequality solution?

• X > -2

• X = -2

• X ≥ -2

• X < -2