How do you solve 7x+1<4(x-2)?

1 Answer
Mar 5, 2018

\text{Interval Notation:}\ \ \ =\ \ \ (-\infty , -3)

Explanation:


7x+1< 4(x−2)

The first step is to simplify the both sides of inequality.

Distribute the parantheses on the right hand side side by applying the distributive property\ \ \ a(b+c)=ab+ac\ \ \ as:

7x+1<4x-8

Collect terms involving the variable on left hand side.

7x+1-1<4x-8-1

7x<4x-9

7x-4x<4x-9-4x

3x<-9

\frac{3x}{3}<\frac{-9}{3}

x<-3

That's it!