| 4x β 6 | β₯ - 18
Question
Answer:
The absolute value expression |4x - 6| represents the distance between the expression 4x - 6 and 0 on the number line. The absolute value of any real number is always non-negative, so |4x - 6| is greater than or equal to 0.
Therefore, the inequality |4x - 6| β₯ -18 is true for all real values of x because the absolute value is always non-negative. In other words, there are no restrictions on the value of x that satisfy this inequality.
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