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### High School Mathematics10.8 Representing Inequation on Number Line

 Example - I: Represent x > 4 on number line and x is a natural number. solution: If we take x = 0, we get 0 > 4. But 0 > 4 is not true. Therefore 0 is not a solution for the given inequation. If we take x = 1, we get 1 > 4. But 1 > 4 is not true. Therefore 1 is not a solution for the given inequation. If we take x = 2, we get 2 > 4. But 2 > 4 is not true. Therefore 2 is not a solution for the given inequation. If we take x = 3, we get 3 > 4. But 3 > 4 is not true. Therefore 3 is not a solution for the given inequation. If we take x = 4, we get 4 > 4. But 4 > 4 is not true. Therefore 4 is not a solution for the given inequation. If we take x = 5, we get 5 > 4. This is true. Therefore 5 is a solution for the given inequation. If we take x = 6, we get 6 > 4. This is true. Therefore 6 is a solution for the given inequation. Thus all the natural numbers greater than 4 are the solutions for the inequation x > 3. Example - II: Represent x ³ 1 on number line where x Î R. Solution: Example - III: Represent x < 2 on number line, x is a natural number. Example - IV: Represent x £ 2 on number line, where x Î R. Directions: Represent the following inequations on number line. 1. Represent x > 5 on number line and x is a natural number. 2. Represent x > 2 on number line and x is a natural number. 3. Represent x ³ 4 on number line where x Î R. 4. Represent x ³ 2 on number line where x Î R. 5. Represent x < 5 on number line, x is a natural number. 6. Represent x < 10 on number line, x is a natural number. 7. Represent x £ 4 on number line, where x Î R. 8. Represent x £ 9 on number line, where x Î R.