Solving Multi-Step Inequalities

The video tutorial covers solving multi-step inequalities, emphasizing a step-by-step approach similar to solving equations. It includes checking solutions, using the distributive property, and understanding special solutions like all numbers or no solution. The instructor provides examples and encourages students to practice independently.

What is the first step in solving multi-step inequalities?

• Combine like terms

• Check the solution

• Get the variable by itself

• Flip the inequality

When dividing both sides of an inequality by a negative number, what must you remember to do?

• Add the same number to both sides

• Multiply both sides by a positive number

• Subtract the same number from both sides

• Flip the inequality

In the example problem, what number is chosen to check the solution?

• Three

• Twenty-five

• Zero

• Negative four

What property is used to simplify the expression 15 ≤ 5 - 8M - 14?

• Identity property

• Commutative property

• Distributive property

• Associative property

After distributing and combining like terms, what is the next step in solving the inequality?

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality

• Divide by the coefficient of the variable

What does it mean if the variables cancel each other out and you are left with a true statement?

• No solution

• Only positive numbers are solutions

• All numbers are solutions

• Only negative numbers are solutions

What does it mean if the variables cancel each other out and you are left with a false statement?

• Only negative numbers are solutions

• Only positive numbers are solutions

• No solution

• All numbers are solutions

In the example problem, what is the final solution for M?

• M ≤ 3

• M ≥ -3

• M ≤ -3

• M ≥ 3

What should you do after solving an inequality to ensure your solution is correct?

• Combine like terms

• Flip the inequality

• Distribute any coefficients

• Check the solution by plugging in values

What is the purpose of moving variables to one side and numbers to the other in an inequality?

• To check the solution

• To isolate the variable

• To simplify the equation

• To flip the inequality