Question

Solve : |x − 2| ≥ 5[−1,1] ∪ [3,5]​

Answer 1

Answer:

First of all, note that your inequality is only defined if your denominators are not equal to zero:

x + 1 != 0 <=> x != -1

x - 2 != 0 <=> x != 2

Now, your next step would be to "get rid" of the fractions. This can be done if multiplying both sides of the inequality with x+1 and x-2.

However, you need to be careful since if you multiply an inequality with a negative number, you must flip the inequality sign.

Step-by-step explanation:

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