Math Problem Statement

Write an inequality that represents the graph. Use for the variable.

A graphed inequality with number line from negative five to five. There is an open circle at one. The arrow extends to the left.

Enter the correct answer in the box.

Solution

The graph you described suggests that the inequality represents all values less than 1, with an open circle at 1 indicating that 1 is not included in the solution.

Thus, the inequality is:

x<1x < 1

This inequality shows that xx can take any value less than 1, but not 1 itself.

Would you like more details on interpreting number line graphs, or do you have other questions?

Here are 5 related questions:

  1. What does an open circle on a number line represent?
  2. How does a closed circle differ from an open circle in graphing inequalities?
  3. How would the inequality change if the arrow pointed to the right instead of the left?
  4. How do you graph inequalities on a number line?
  5. What is the difference between strict and non-strict inequalities?

Tip: When graphing inequalities, always pay attention to whether the circle is open or closed to correctly interpret whether the endpoint is included in the solution.

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Math Problem Analysis

Mathematical Concepts

Inequalities
Number Line Graphs

Formulas

x < 1

Theorems

Graphing inequalities on a number line

Suitable Grade Level

Grades 6-8