solving inequalities unit 4 test desmos

Answer 1

I'm sorry, but I cannot generate specific questions from a specific test in Desmos. However, I can help you with general information and strategies for solving inequalities.

Inequalities are equations that include greater than (>), less than (<), greater than or equal to (≥), or less than or equal to (≤) symbols. When solving inequalities, the goal is to determine the range of numbers that satisfy the inequality statement.

Here are the general steps for solving inequalities:

1. Identify the inequality symbol and write down the inequality.
2. Simplify both sides of the inequality if necessary.
3. Determine whether the inequality symbol should be flipped (greater than/less than versus greater than or equal to/less than or equal to). This happens when both sides of the inequality are multiplied or divided by a negative number.
4. Solve the inequality by isolating the variable on one side of the inequality symbol (similar to solving equations).
5. Express the solution using interval notation or set notation.

For example, let's solve the inequality 3x - 5 < 7:

1. Identify the inequality symbol: <
2. Write down the inequality: 3x - 5 < 7
3. Simplify if necessary: No simplification needed.
4. Solve the inequality:
Add 5 to both sides: 3x < 12
Divide by 3: x < 4
5. Express the solution: In interval notation, this is (-∞, 4).

Remember to check your solutions by plugging them back into the original inequality to ensure they are valid.

If you have specific inequality questions or concepts you would like to discuss, please let me know and I'll be happy to assist you further.