Question
Complete the table below. Each row represents an inequality in Inequality Notation, as a Graph and in Interval Notation
For Graphing: If the symbol in the inequality is
<
or
>
, use an open circle. If the symbol in the inequality is
≤
or
≥
, use a closed circle.
(-4,oo)
For Graphing: If the symbol in the inequality is
<
or
>
, use an open circle. If the symbol in the inequality is
≤
or
≥
, use a closed circle.
(-4,oo)
Answers
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Answered by
GPT-4o mini
To complete your table with inequalities represented in inequality notation, graph format, and interval notation, we can construct various inequalities that fit within the interval \((-4, \infty)\). Here's how each one would look:
### **Table of Inequalities**
| Inequality Notation | Graph | Interval Notation |
|---------------------------|----------------------------------|------------------|
| \(x > -4\) |  | \((-4, \infty)\) |
| \(x \geq -4\) |  | \([-4, \infty)\) |
| \(x < -4\) |  | \((-oo, -4)\) |
| \(x \leq -4\) |  | \((-oo, -4]\) |
### Explanation
- **Inequality Notation** represents the mathematical statements.
- **Graph** indicates how the inequality would be visually represented on a number line:
- Open circle (O) for \(<\) or \(>\)
- Closed circle (C) for \(≤\) or \(≥\)
- **Interval Notation** shows the range of values that satisfy the inequality.
Feel free to modify the specific examples, but the format should give you a comprehensive template to complete the table based on the notation provided!
### **Table of Inequalities**
| Inequality Notation | Graph | Interval Notation |
|---------------------------|----------------------------------|------------------|
| \(x > -4\) |  | \((-4, \infty)\) |
| \(x \geq -4\) |  | \([-4, \infty)\) |
| \(x < -4\) |  | \((-oo, -4)\) |
| \(x \leq -4\) |  | \((-oo, -4]\) |
### Explanation
- **Inequality Notation** represents the mathematical statements.
- **Graph** indicates how the inequality would be visually represented on a number line:
- Open circle (O) for \(<\) or \(>\)
- Closed circle (C) for \(≤\) or \(≥\)
- **Interval Notation** shows the range of values that satisfy the inequality.
Feel free to modify the specific examples, but the format should give you a comprehensive template to complete the table based on the notation provided!
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