Podcast
Questions and Answers
When multiplying or dividing both sides of an inequality by a negative number, what happens to the inequality sign?
When multiplying or dividing both sides of an inequality by a negative number, what happens to the inequality sign?
- It changes direction. (correct)
- It becomes an equal sign.
- It stays the same.
- It is removed.
Adding a number to both sides of an inequality changes the direction of the inequality sign.
Adding a number to both sides of an inequality changes the direction of the inequality sign.
False (B)
What does an open circle indicate when graphing inequalities on a number line?
What does an open circle indicate when graphing inequalities on a number line?
The value is not included in the solution.
If the variable cancels out in an inequality and the resulting statement is ______, there is no solution to the inequality.
If the variable cancels out in an inequality and the resulting statement is ______, there is no solution to the inequality.
Match the symbols with their corresponding inequalities:
Match the symbols with their corresponding inequalities:
Flashcards
Solving Inequalities
Solving Inequalities
Isolating the variable on one side, typically the left side.
Balancing Inequalities
Balancing Inequalities
Perform the same operations on both sides of the inequality to maintain balance.
Inequality Sign Change
Inequality Sign Change
Multiplying or dividing both sides by a negative number reverses the inequality sign.
Graphing Inequalities
Graphing Inequalities
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No Solution Case
No Solution Case
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Study Notes
Solving Inequalities
- Get the variable by itself on one side of the inequality, preferably on the left side.
- To balance the inequality, perform the same operations on both sides.
- Adding or subtracting a number from both sides does not change the inequality sign.
- Multiplying or dividing both sides by a negative number changes the direction of the inequality sign.
- When graphing inequalities on a number line:
- An open circle indicates that the value is not included.
- A closed circle indicates that the value is included.
- Use arrows to show all values that satisfy the inequality.
- When the variable cancels out and the resulting statement is false, there is no solution to the inequality.
- When the variable cancels out and the resulting statement is true, all real numbers are solutions.
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