Let's solve the inequality \( t + 5 > 3 \) step by step.

### Step 1: Isolate the variable
To isolate \( t \), subtract 5 from both sides of the inequality:
\[
t + 5 > 3
\]
\[
t > 3 - 5
\]
\[
t > -2
\]

### Solution:
The solution to the inequality is \( t > -2 \).

### Number Line Representation:
- Draw a number line.
- Mark the point \( t = -2 \) with an open circle (because \( t \) cannot be equal to -2).
- Shade everything to the right of \( t = -2 \) to indicate that all values greater than -2 are solutions.

Would you like a visual representation of this or further clarification? Here are some related questions for further practice:

1. Solve and graph \( t + 4 \leq 1 \) on a number line.
2. Solve and graph \( 3t > 9 \) on a number line.
3. What happens if the inequality was \( t + 5 \geq 3 \)?
4. How would the solution change if you were solving \( t - 5 > 3 \)?
5. Solve and graph \( 2t + 1 > -3 \) on a number line.

**Tip:** When graphing inequalities, an open circle is used for \( > \) or \( < \), and a closed circle is used for \( \geq \) or \( \leq \).

Learn how to solve the inequality t + 5 > 3 with a step-by-step solution. This problem covers key algebraic concepts, including solving inequalities and representing solutions on a number line. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation