How to solve1 /|2x-3| >1 ?
1 Answer
{x
Explanation:
Since an inequality changes directions only when multiplied or divided by a negative, and since |2x-3| is always positive, multiply both sides of the relation by |2x-3|. The direction of the inequality remains the same:
By the definition of absolute value, (2x-3) must be less than a distance of 1 from 0 on the number line. Two equations result:
Solving each separately,
The solution then is