Solving Two-Step and Multi-Step Inequalities

This video tutorial covers solving two-step and multi-step inequalities. It explains the rules for inequalities, including when to flip the inequality sign. The instructor solves several example problems, demonstrating how to isolate variables and graph solutions on a number line. The tutorial also addresses handling inequalities with fractions and real-world applications, providing a comprehensive guide to understanding and solving inequalities.

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

• It becomes an equal sign.

• It flips.

• It remains the same.

• It disappears.

What is the first step in solving the inequality 4x + 29 ≤ 25?

• Multiply both sides by 4.

• Divide both sides by 4.

• Subtract 29 from both sides.

• Add 29 to both sides.

After subtracting 29 from both sides in the inequality 4x + 29 ≤ 25, what is the resulting inequality?

• 4x ≤ 54

• 4x ≥ 54

• 4x ≤ -4

• 4x ≥ -4

What is the final solution to the inequality 4x + 29 ≤ 25?

• x ≤ -1

• x ≥ -1

• x ≤ 1

• x ≥ 1

When solving the inequality -36 - 7k < 6, what should you do after adding 36 to both sides?

• Add 7 to both sides.

• Subtract 36 from both sides.

• Divide both sides by -7.

• Multiply both sides by -7.

What is the correct graph representation for the solution k > -6?

• Filled-in circle at -6, shade to the right.

• Open circle at -6, shade to the right.

• Open circle at -6, shade to the left.

• Filled-in circle at -6, shade to the left.

In the inequality -8 + (-3) < -4f + 11, what is the first step to isolate the f term?

• Divide both sides by -4.

• Multiply both sides by -4.

• Add 11 to both sides.

• Subtract 11 from both sides.

What is the final solution to the inequality -8 + (-3) < -4f + 11?

• f ≥ 8

• f ≤ 8

• f > 8

• f < 8

How do you simplify the inequality 1/2y + 2/3 > 5/6?

• Add 2/3 to both sides.

• Divide each term by the least common multiple of the denominators.

• Multiply each term by the least common multiple of the denominators.

• Subtract 2/3 from both sides.

In the word problem, how many weeks will it take for the student's running time to be at most 150 seconds?

• 5 weeks

• 6 weeks

• 4 weeks

• 7 weeks