Math Problem Statement

Solve the inequality 3b + 4 < 1

Solution

To solve the inequality 3b+4<13b + 4 < 1 for bb, follow these steps:

  1. Subtract 4 from both sides of the inequality:

    3b+44<143b + 4 - 4 < 1 - 4

    Simplifying this gives:

    3b<33b < -3

  2. Divide both sides by 3 to isolate bb:

    3b3<33\frac{3b}{3} < \frac{-3}{3}

    Simplifying this gives:

    b<1b < -1

So, the solution to the inequality 3b+4<13b + 4 < 1 is b<1b < -1.

Would you like any more details or have any questions on this solution?

Here are five related questions to expand your understanding:

  1. How would you solve the inequality 5b7>35b - 7 > 3?
  2. What is the solution to the inequality 4b+2104b + 2 \leq 10?
  3. Can you solve 2b842b - 8 \geq 4?
  4. How would you approach solving 3b+5<2-3b + 5 < 2?
  5. What steps would you take to solve 6b+106b + 1 \geq 0?

Tip: When solving inequalities, remember that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Linear Equations

Formulas

Linear inequality: ax + b < c

Theorems

Properties of inequalities

Suitable Grade Level

Grades 7-9