Question 1207731
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Explain why the equation |x| > -1/2 has all real number solutions.
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Left side is always positive or zero;

right side is negative.


All positive real numbers or zero is/are greater than any negative number.


Therefore, this inequality is valid for all real numbers x.


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Solved in full and explained completely.



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<U>Comment from student</U>: So, can we generally say that |expression| > negative number is always valid for all real numbers x?



<U>My response</U>:   Yes, it is true.