Complete the table below. Each row represents an inequality in Inequality Notation, as a Graph and in Interval Notation

Question

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.
x ≤ -3

Answer 1

Sure! Below is the completed table for the inequality \( x \leq -3 \).

| Inequality Notation | Graph | Interval Notation | |-------------------------|------------------------------------------------------|-----------------------| | \( x \leq -3 \) | | \( (-\infty, -3] \) |

Explanation:

• Inequality Notation: The inequality is written as \( x \leq -3 \).
• Graph: The graph represents all numbers less than or equal to -3. An open circle is not used at -3 because the inequality includes -3 (closed circle instead).
• Interval Notation: It includes all numbers from negative infinity up to and including -3, written as \( (-\infty, -3] \).

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