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How do you solve # - 5| x + 1| = -10#?

Answer 1

Eva Adamson

You may start by dividing both sides by #-5#

#->|x+1|=2#

In fact this represents two equations, depending on the value of #x# being smaller or greater than #-1#

#x>=-1: x+1=2->x=1#

#x<=-1:-(x+1)=2->-x-1=2->x=-3# graph{|x+1| [-10, 10, -5, 5]}

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Answer 2

Julia Adams

To solve the equation -5| x + 1| = -10, you first isolate the absolute value term by dividing both sides by -5. This gives | x + 1| = 2. Then, you consider two cases: x + 1 = 2 and x + 1 = -2. Solve each case separately to find the possible values of x.

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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.

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.

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.

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.

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