i need the interval notation of 7-x/3>8

Question

interval notation

 

Answer 1

7 - (x/3) > 8

 

Subtract 7 from both sides:

 

-x/3 > 1

 

Multiply both sides by -3.  When you multiply or divide an inequality by a negative number, you have to flip the inequality sign, in this case from > to <:

 

x < -3

 

In interval notation:

 

(-∞,-3)

 

<--|----|----|----o----|----|----|----|----|----|-->

   -6     -5    -4    -3    -2    -1     0     1     2     3