Solving Multi-Step Inequalities Effectively

The video tutorial covers solving multi-step inequalities, similar to solving equations but with key differences. It explains the use of parentheses and brackets in interval notation and demonstrates solving inequalities through examples. The importance of flipping the inequality sign when dividing by a negative number is highlighted. The tutorial provides step-by-step solutions to various inequality problems, emphasizing the correct use of symbols and graphing techniques.

What symbols are used to represent inequalities?

• Plus, minus, multiply, divide

• Greater than, less than, greater than or equal to, less than or equal to

• Equal to, not equal to

• Parentheses, brackets

What does a parenthesis in interval notation indicate?

• The value is included in the solution

• The value is negative

• The value is not included in the solution

• The value is zero

In the inequality 4x + 12 > -24, what is the solution for x?

• x > -9

• x < -9

• x > 9

• x < 9

When solving -3x - 6 > 4, what important step must be taken when dividing by a negative number?

• Add the negative number to both sides

• Multiply both sides by zero

• Flip the inequality sign

• Subtract the negative number from both sides

Why do we flip the inequality sign when dividing by a negative number?

• Because the inequality becomes false otherwise

• To avoid using negative numbers

• To keep the variable positive

• To make the equation easier to solve

In the inequality 7x - 2x + 8 ≤ -2, what is the solution for x?

• x ≤ -2

• x ≥ -2

• x ≤ -10

• x ≥ -10

What does a closed circle on a graph indicate?

• The value is included in the solution

• The value is negative

• The value is zero

• The value is not included in the solution

In the inequality -9x + 8 ≤ -28, what is the solution for x?

• x ≤ -4

• x ≥ -4

• x ≤ 4

• x ≥ 4

When solving 8x + 1 < 9, what is the solution for x?

• x < 1

• x > 1

• x > -1

• x < -1

In the inequality 3x + 20 ≥ -1, what is the solution for x?

• x ≤ -7

• x ≥ 7

• x ≥ -7

• x ≤ 7