Solving Inequalities Concepts

This video tutorial demonstrates how to solve inequalities by isolating the variable X. It covers the basic rules of arithmetic operations, including addition, subtraction, multiplication, and division, especially focusing on the effect of dividing by negative numbers on inequality signs. The tutorial provides three examples, each illustrating different methods to solve inequalities, such as adding, subtracting, and dividing by negative numbers. The video emphasizes the importance of switching inequality signs when multiplying or dividing by negative numbers.

What is the primary goal when solving an inequality?

• To multiply all terms by zero

• To isolate the variable X

• To eliminate all numbers

• To add all terms together

In the first example, what operation is performed first to solve the inequality?

• Adding 22 to both sides

• Multiplying both sides by 2

• Subtracting 22 from both sides

• Dividing both sides by 2

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

• Subtract 5 from both sides

• Multiply by a positive number

• Switch the inequality sign

• Add 10 to both sides

In the second example, what is the result of subtracting 30 from both sides?

• Negative 6

• Negative 36

• Positive 6

• Positive 36

Why is the inequality sign not switched in the second example?

• Because we are subtracting a positive number

• Because we are adding a negative number

• Because we are dividing by a positive number

• Because we are multiplying by zero

In the third example, what is the first step to solve the inequality?

• Add 4 to both sides

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

What is the result of dividing 16 by negative 4 in the third example?

• Positive 16

• Negative 4

• Negative 16

• Positive 4

What is the final inequality solution in the third example?

• X is less than or equal to 4

• X is greater than or equal to 4

• X is greater than or equal to -4

• X is less than or equal to -4

What should you do if you are unsure about solving inequalities?

• Ask a friend for the solution

• Guess the answer

• Watch additional tutorial videos

• Ignore the problem

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• Access to live tutoring sessions

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• Receive a certificate of completion

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