Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line 3(3n-4)<8(n-1)

Question

please show graph of solution on a number line

Answer 1

First distribute terms.

 

9n - 12 < 8n - 8

 

 

Add 12 to both sides of the inequality.

 

9n < 8n + 4

 

 

Subtract 8n on both sides of the inequality.

 

n < 4

 

n > 4

 

 

To graph this, draw a number line the includes the number 4.  Draw an open circle at 4.  From that open circle, draw an arrow going to the right direction.

 

 

To write the solution in interval notation,

 

(4, ∞)