Question

Solve for xx and graph the solution on the number line below.
x
−3≥
−4+x
Answer
Attempt 1 out of 2

A:<B:>C: ≤ D: ≥ E: or
Inequality Notation:
Number Line:________

Answer 1

To solve the inequality \( x - 3 \geq -4 + x \), follow these steps:

1. Simplify the inequality:
\[
x - 3 \geq -4 + x
\]

2. Subtract \( x \) from both sides to isolate the constant terms:
\[
-3 \geq -4
\]

3. Since \(-3\) is greater than \(-4\), the inequality holds true.

This means that the inequality is true for all values of \( x \).

### Answer
- Inequality Notation: \( x \in \mathbb{R} \) (all real numbers)

### Number Line Representation
Since the inequality is valid for all values of \( x \), you would represent this on the number line by shading the entire line.

\[
\text{Number Line: } -----(\text{continue both directions})-----
\]

This indicates that all values of \( x \) are included.