Solve for x |3x-4|>-2

Problem

|3*x−4|>−2

Solution

1. Analyze the inequality by observing the properties of absolute value expressions.

2. Identify the range of the absolute value function, which states that |a|≥0 for any real number a

3. Compare the values on both sides of the inequality. Since |3*x−4| is always non-negative, it will always be greater than any negative number.

4. Conclude the solution set based on the fact that the inequality |3*x−4|>−2 is true for all real values of x

Final Answer

x∈(−∞,∞)

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