Math Problem Statement
A: Show the inequalities on the number line. x>2 -5 -4 -3 -2 -1 0 1 2 3 4 5
Solution
To represent the inequality on a number line, you need to indicate all the numbers greater than 2. Here's how you can do it:
- Draw a number line with the given range from to .
- Mark the point on the number line.
- Since does not include the number itself (strict inequality), use an open circle at to indicate that is not part of the solution.
- Shade the portion of the number line to the right of to show all numbers greater than .
The number line will look like this:
\text{Number Line:} \\ \underline{-5 \quad -4 \quad -3 \quad -2 \quad -1 \quad 0 \quad 1 \quad \circ 2 \quad \longrightarrow 3 \quad 4 \quad 5} \end{array}$$ The open circle at $$2$$ and the arrow pointing to the right indicate all the numbers greater than $$2$$. Would you like more details or have any questions? Here are 5 related questions to further explore this concept: 1. How would you represent $$x \geq 2$$ on a number line? 2. What does the inequality $$x < -3$$ look like on a number line? 3. How can you represent a compound inequality like $$-1 \leq x < 4$$ on a number line? 4. What does an inequality with no solutions look like on a number line? 5. How would you represent $$x \neq 0$$ on a number line? **Tip:** When using an open circle on a number line, it indicates that the number at that point is not included in the set of solutions. A closed (filled) circle indicates that the number is included.Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Inequalities
Number Line Representation
Formulas
-
Theorems
-
Suitable Grade Level
Grades 7-9