Math Problem Statement

Write a compound inequality for the graph shown below. Use x for your variable.

Solution

The graph shows a number line with two points highlighted: one at 3-3 with a closed circle (indicating the value 3-3 is included in the solution) and one at 11 with an open circle (indicating the value 11 is not included in the solution). The shading on the line is between these two points, meaning the solution includes all numbers between 3-3 and 11, but not including 11.

The compound inequality for this graph is:

3x<1-3 \leq x < 1

Would you like further clarification or have any questions?

Here are 5 related questions you might want to explore:

  1. How do open and closed circles affect inequality notation?
  2. What is the difference between strict inequalities and non-strict inequalities?
  3. Can you represent this inequality in interval notation?
  4. How do you solve compound inequalities like this algebraically?
  5. How can inequalities be graphed on a coordinate plane?

Tip: In interval notation, closed circles mean you use square brackets [ ][ \ ], and open circles mean you use parentheses ( )( \ ).

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Math Problem Analysis

Mathematical Concepts

Algebra
Compound Inequalities

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8