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How do you solve the inequality #-3 (b-1)> 18#?

Answer 1

Eva Adamson

#b<-5#

As #-3(b-1)>18#, we have

#3(b-1)<-18# or

#(b-1)<-6#

#b<-5#

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Answer 2

Nathan Axel

To solve the inequality (-3(b-1) > 18), first distribute the (-3) across (b-1):

[ -3b + 3 > 18 ]

Next, subtract (3) from both sides to isolate the term involving (b):

[ -3b > 15 ]

Then, divide both sides by (-3). Since dividing by a negative number reverses the inequality sign:

[ b < -5 ]

So, the solution to the inequality is (b < -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.

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How do you solve the inequality #-3 (b-1)&gt; 18#?

How do you solve the inequality #-3 (b-1)> 18#?