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Hi I need help with this question please and thank you

Hi I need help with this question please and thank you-example-1
User Tumbudu
by
6.7k points

1 Answer

3 votes

We need to solve the next inequality:


-9<4x+3<27

Then, we can divide into two inequañities


-9<4x+3

We can rewrite the expression as:


4x+3>-9

Subtract both sides 3


4x+3-3>-9-3


4x>-12

Now, divide both sides by 4:


(4x)/(4)>(-12)/(4)
x<-3

Also, the other inequality:


4x+3<27

Subtract both sides by 3


4x+3-3<27-3
4x<24

Then, divide both sides by 4:


(4x)/(4)<(24)/(4)
x<6

Therefore, we have the next inequalities for x:


x>-3

and


x>6

Hence, the answer for x is:

[tex]-3

User Nick Roth
by
6.3k points
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