what is the value of t in [(t-2)/4 ]>11? 

To solve the inequality \(\frac{t - 2}{4} > 11\), follow these steps:

1. **Multiply both sides by 4** to eliminate the denominator:
   \[
   t - 2 > 44
   \]

2. **Add 2 to both sides** to isolate \(t\):
   \[
   t > 46
   \]

So, the solution to the inequality is \(t > 46\).

Would you like any further details or explanations on this problem? Here are some related questions you might find useful:

1. How do you solve inequalities involving fractions?
2. What are the general rules for solving inequalities?
3. Can you graph the solution \(t > 46\) on a number line?
4. How does solving inequalities differ from solving equations?
5. What happens when you multiply or divide by a negative number in an inequality?

**Tip:** When solving inequalities, always remember to reverse the inequality sign when multiplying or dividing by a negative number.

Learn how to solve the inequality (t-2)/4 > 11 with a detailed step-by-step solution. This problem covers inequalities and basic algebraic concepts. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation