Question
How to solve inequalities
Answers
GPT 3.5
Solving inequalities involves determining the values of the variable that satisfy the inequality statement. Here are the general steps to follow when solving inequalities:
1. Write down the inequality statement.
2. Simplify both sides of the inequality, if necessary, by combining like terms or simplifying expressions.
3. Determine whether to solve for x or y (or whichever variable is involved).
4. To isolate the variable, perform inverse operations (addition, subtraction, multiplication, division) on both sides of the inequality. Remember to switch the inequality sign when you multiply or divide by a negative number.
5. Simplify the inequality to find the range of values that satisfy the inequality statement.
6. If needed, graph the solution on a number line to visually represent the solution set.
It's important to remember that inequalities always represent a range of values, rather than a single solution like equations. When solving inequalities, pay attention to whether the solution set should include only integers, all real numbers, or a specific range.
1. Write down the inequality statement.
2. Simplify both sides of the inequality, if necessary, by combining like terms or simplifying expressions.
3. Determine whether to solve for x or y (or whichever variable is involved).
4. To isolate the variable, perform inverse operations (addition, subtraction, multiplication, division) on both sides of the inequality. Remember to switch the inequality sign when you multiply or divide by a negative number.
5. Simplify the inequality to find the range of values that satisfy the inequality statement.
6. If needed, graph the solution on a number line to visually represent the solution set.
It's important to remember that inequalities always represent a range of values, rather than a single solution like equations. When solving inequalities, pay attention to whether the solution set should include only integers, all real numbers, or a specific range.