Solving Multi-Step Inequalities in Algebra 1

Mrs. Yaod teaches solving multi-step inequalities, emphasizing the importance of previous lessons. She demonstrates solving and graphing inequalities through various examples, including handling variables on both sides and special cases like infinite solutions and no solutions. The lesson concludes with solving for specific values of k in inequalities.

Why is it important to have watched the previous videos and completed the concept practice from 2.3 and 2.2?

• Because they cover basic arithmetic operations.

• Because they introduce the concept of inequalities.

• Because they include graphing techniques.

• Because they provide the foundation for solving multi-step inequalities.

What is the first step in solving the inequality 4a + 8 ≥ 0?

• Divide by 4.

• Multiply by 4.

• Add 8 to both sides.

• Subtract 8 from both sides.

When graphing the solution a ≥ -2, what type of circle is used at -2?

• Dashed circle

• No circle

• Closed circle

• Open circle

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

• It disappears.

• It becomes an equality sign.

• It flips direction.

• It stays the same.

In the problem -c/2 > -2, what is the next step after adding 6 to both sides?

• Subtract 6 from both sides.

• Divide by -2.

• Multiply by -2.

• Add 2 to both sides.

What is the solution to the inequality 2n - 5 > 3?

• n > 4

• n > 1.5

• n > 2

• n > 3

If the variables cancel out and you are left with a true statement, what is the solution?

• No solution

• Infinite solutions

• One solution

• Two solutions

What does it mean if you get a false statement after canceling out the variables?

• Infinite solutions

• No solution

• Two solutions

• One solution

What is the value of k for which the solution of the inequality is all real numbers?

• k ≤ (2x + 4) / (-x - 3)

• k ≥ (2x + 4) / (-x - 3)

• k ≤ (2x + 4) / (4r - 5)

• k ≥ (2x + 4) / (4r - 5)

What is the value of k for which the inequality has no solution?

• k ≤ (2x + 4) / (4r - 5)

• k ≥ (2x + 4) / (4r - 5)

• k ≤ (2x + 4) / (-x - 3)

• k ≥ (2x + 4) / (-x - 3)