How do you solve #abs(x-5)+6=0#?

Answer 1

See explanation.

Such an equation must be converted into one that has a number on one side and an absolute value on the other in order to be solved:

#abs(x-5)=-6#

Since the absolute value of the above equation is always either zero or positive and the right hand side is negative, the equation cannot be solved.

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Answer 2

Ethan Adkins

To solve the equation |x - 5| + 6 = 0, you would first subtract 6 from both sides to isolate the absolute value term. Then, you would solve for the absolute value expression by setting it equal to zero and considering both the positive and negative cases for what's inside the absolute value bars.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.