Math Problem Statement

Graph each inequality on a separate number line

Graph each inequality on a separate number line

Solution

It appears the inequality you provided is "-1 < x," which can be graphically represented on a number line.

Steps to graph:

  1. Draw a number line with evenly spaced values.
  2. Since the inequality is "-1 < x," it indicates that xx is greater than -1, but does not include -1.
  3. Place an open circle at -1 to show that this value is not included.
  4. Shade or draw an arrow to the right of -1 to indicate that all values greater than -1 satisfy the inequality.

Would you like to see a detailed drawing of this, or do you have any other questions related to this inequality?

Here are five related questions to further your understanding:

  1. What changes if the inequality was "-1 ≤ x" instead of "-1 < x"?
  2. How would you graph the inequality "x < 3" on the same number line?
  3. What does it mean when an inequality includes an "equal to" (≤ or ≥) symbol?
  4. How would the graph change if the inequality was reversed, "x < -1"?
  5. What happens when you combine two inequalities, like "-1 < x < 3"?

Tip: Always remember that open circles indicate values that are not included, while closed circles show that the value is part of the solution set!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Number Line Representation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8