Math Problem Statement

Solve the inequality 4b - 3 < -6

Solution

The inequality to solve is:

4b3<64b - 3 < -6

Step-by-step solution:

  1. Add 3 to both sides: 4b3+3<6+34b - 3 + 3 < -6 + 3 4b<34b < -3

  2. Divide both sides by 4: b<34b < \frac{-3}{4}

Final Answer:

b<34b < -\frac{3}{4}

Let me know if you'd like further explanation or have any questions! Here are some related topics you might explore:

  1. How to graph inequalities on a number line?
  2. How do inequalities change when multiplying or dividing by a negative number?
  3. Can inequalities be solved using interval notation?
  4. What are compound inequalities, and how are they solved?
  5. How do absolute values affect inequalities?

Tip: Always check your solution by substituting values back into the inequality to confirm the result.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Linear Equations

Formulas

Addition Property of Inequalities
Division Property of Inequalities

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 7-9