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How do you solve #abs(-6m)=30#?

Answer 1

Genesis Allen

#m=+-5#

The given equation, of the form #|f(m)|=a# is equivalent to:

#f(m)=+-a#

in order for you to resolve:

#-6m=+-30#

that is

#m=+-5#

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Answer 2

Jace Anderson

To solve the equation abs(-6m) = 30, you need to isolate m.

First, remember that the absolute value of a number is its distance from zero on the number line. So, abs(-6m) = 30 means that either -6m = 30 or -6m = -30.

Solve each equation separately:

For -6m = 30: Divide both sides by -6: m = 30 / -6 m = -5
For -6m = -30: Divide both sides by -6: m = -30 / -6 m = 5

So, the solutions are m = -5 and m = 5.

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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.