Math Problem Statement

Write an inequality that represents the graph showing an open circle at -6 with shading extending to the right.

Solution

The graph shows an open circle at -6 and the shading extending to the right, indicating that the variable aa is greater than -6.

Thus, the correct inequality is:

A) a>6a > -6

If you'd like further details or explanations, feel free to ask!

Here are 5 related questions:

  1. How do you interpret a closed circle versus an open circle on a number line?
  2. What does shading to the left of a number on a number line mean in terms of inequalities?
  3. Can you explain how to write inequalities from graphs that have closed circles?
  4. What is the difference between a6a \geq -6 and a>6a > -6?
  5. How would you graph the inequality a>6a > -6?

Tip: Always remember that an open circle represents "not including" the number, and a closed circle means "including" the number!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Graphing Inequalities
Number Line Representation

Formulas

Inequality notation: a > b, a < b, a ≥ b, a ≤ b

Theorems

Basic properties of inequalities

Suitable Grade Level

Grades 6-8