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How do you solve # |x | = 6#?

Answer 1

#x# can be #6# or #-6#.

The absolute value of a number is the length measured on the number line between zero and that number; the direction (positive or negative) is not considered, only the distance.

Examples:

#abs(-30) = 30#

#abs(100) = 100#

Indeed, despite the fact that the number inside the actual absolute values may be negative, all absolute values are positive. To put it simply, here's the "formula":

#abs(+-a) = a#

Now for your query:

#abs(x) = 6#

#x# can be negative or positive, since all absolute value answers are positive. We can write this as #x = +- 6#.

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Answer 2

Jameson Allen

To solve |x| = 6, you would have two equations: x = 6 and x = -6. Therefore, the solutions are x = 6 and x = -6.

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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.