Question

4x -2 <6Part A write the solution set as a graph on a number line Part B) write the solution set using interval notation

Answer 1

A)

The inequation is as follows:

`4x-2<6`

To get de solution, we can do:

`\begin{gathered} 4x-2<6 \\ 4x<6+2 \\ 4x<4 \\ x<(4)/(4) \\ x<1 \end{gathered}`

To give the solution in a number line, we first draw a line, marke the "1" in it and mark the line belowe "", since the solution is the numbers less than 1. Also, the mark in the "1" should be a open dot, meaning, it is not filled, which indicates that "1" is not included in the set.

So:

B) To write the solution in interval notatio, we put the start and the end of the set. Since it goes all the way to minus infinity, we put as:

`(-\infty,1)`

When it is infinite, we use "(" to indicate it is open set in this side. The other ")", beside the "1" indicates that "1" is not included.