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How do you solve #6= 6- 9| r + 39|#?

Answer 1

Ethan Adkins

#r=-39#

Subtract #6# from both sides.

#0=-9abs(r+39)#

Now the only way this express could be true is if the stuff inside the absolute value is equal to zero.

#abs(r+39)=0#

Because #abs(0)=0#, we can go ahead and set the inside equal to zero.

#r+39=0#

Subtract #39# from both sides.

ANSWER: #r=-39#

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Answer 2

Eva Adamson

To solve the equation (6 = 6 - 9|r + 39|), you would first isolate the absolute value term by subtracting 6 from both sides of the equation. Then, you would divide both sides by -9 to solve for (|r + 39|). Finally, you would consider two cases: when the expression inside the absolute value is positive and when it is negative, and solve for (r) accordingly.

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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.