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)

1 answer

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 | |---------------------------|----------------------------------|------------------| | \(x > -4\) | Graph for x > -4 | \((-4, \infty)\) | | \(x \geq -4\) | Graph for x ≥ -4 | \([-4, \infty)\) | | \(x < -4\) | Graph for x < -4 | \((-oo, -4)\) | | \(x \leq -4\) | Graph for x ≤ -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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