Math Problem Statement

On a number line, graph all the numbers less than 2, and on a number line, graph all the numbers greater than or equal to 1.

Solution

The question consists of two tasks related to graphing numbers on a number line:


a. On a number line, graph all the numbers less than 2.

To represent this, draw a number line and highlight all values to the left of 2, stopping at but not including 2. At 2, place an open circle to indicate that 2 is not included.

b. On a number line, graph all the numbers greater than or equal to 1.

For this, draw a number line and highlight all values to the right of and including 1. At 1, place a filled circle to show that 1 is included in the set.


Would you like me to generate a visual number line for both parts? If you have questions or want additional explanations, let me know!


Related Questions:

  1. How can open and closed circles on a number line be used in inequality graphs?
  2. What is the difference between strict inequality and inequality with equality?
  3. How would the graph change if the condition for part b was strictly greater than 1?
  4. What other symbols can be used to express numbers less than or greater than a value?
  5. How can interval notation be used to represent these inequalities?

Tip: When graphing inequalities, always check whether the inequality includes the boundary point (using a closed circle) or excludes it (using an open circle).

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Math Problem Analysis

Mathematical Concepts

Number Line
Inequalities
Graphing Inequalities

Formulas

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Theorems

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Suitable Grade Level

Grade 6-8