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How do you solve the equation #abs(1.2-0.3x)=1.5#?

Answer 1

Eva Adamson

The equation has 2 solutions: #x_1=-1# and #x_2=9#. See explanation.

Initially, it is evident that

#|f(x)|=a iff f(x)=-a vv f(x)=a#

Thus, we have the following:

#1.2-0.3x=-1.5 vv 1.2-0.3x=1.5#

Both equalities can be divided by #-0.3#

#-4+x=5 vv -4+x=-5#

Now if we add #4# to both sides of both equations we get the solution:

#x=9 vv x=-1#

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Answer 2

Avery Alexander

To solve the equation abs(1.2 - 0.3x) = 1.5, you would isolate the absolute value expression, then solve for x. The solutions are x = 2 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.