To solve the inequality \(13 + b < -4\), let's isolate \(b\):

1. Subtract 13 from both sides to move the constant term:
   \[
   13 + b - 13 < -4 - 13
   \]
   \[
   b < -17
   \]

So, the solution to the inequality is:
\[
b < -17
\]

Let me know if you'd like more details or have any questions!

Here are some related questions to explore:
1. How would you solve an inequality like \(5 + x > 12\)?
2. What happens if the inequality is \(13 - b < -4\)?
3. How would you represent \(b < -17\) on a number line?
4. Can you solve an inequality with multiplication, like \(3b < -21\)?
5. What if the inequality was \(13 + b \leq -4\) instead?

**Tip:** Always remember to reverse the inequality symbol when multiplying or dividing by a negative number.

Learn how to solve the inequality 13 + b < -4 with a clear, step-by-step approach. This problem explores key algebraic concepts in inequalities, including isolating the variable and understanding properties of inequalities. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation