Solve the following inequality. Graph the solution set and write it in interval notation

Question

10x-6<9x-4

Answer 1

Hi Rachel

 

10x-6<9x-4

Solving for x

Subtract 9x from each side

x-6<-4

Add 6 to both sides

x<2

 

<---------------º----------------

  -1   0   1   2   3   4   5   

 

Graphing in this forum is a bit difficult.  What I tried to show is a number line with an open dot (circle) at 2 and shade the line to the left, which would represent x<2.  The open dot is necessary because x≠2.

 

In interval notation.

(-∞,2)  With the ) after the 2 necessary because x≠2.