Consider the inequality:

Solve by following these steps:

1. Remove the brackets.

2. Remove the parentheses.

3. Remove the denominators.

4. Group the terms of x to one side of the inequality and the independent terms to the other.

5. Calculate:

6.Because the coefficient of x is negative, multiply by −1 so that it will change the sense of the inequality.

7. Work out the value of the unknown.

8.The solution is an inequality, but it can also be expressed:


As an interval:

[3, +∞)

Example 1

(1, ∞)

Example 2

Example 3

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I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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