The absolute value of the inequality |2x -1| >3 will have a union type of solution set.
How do we solve the absolute value of an inequality equation?
The absolute value of an inequality equation can be solved by applying the absolute rule that says:
- If |u| > a, a > 0, then u < - a or u > a
where;
- the "or" functionality symbolizes the union between the solution sets.
Given that:
Applying the absolute rule, we have:
= 2x - 1 < - 3 or 2x - 1 > 3
= 2x < -4 or 2x > 4
= x < -4/2 or x > 4/2
= x< -1 or x > 2 which denotes the union of between the solution sets.
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