Question

Solve each inequality and graph its solution -2 ≤ n-1 ≤ 5

Answer 1

Answer:

Part 1)

Part 2)    

Part 3)

Part 4)  

Part 5)

Part 6)

Step-by-step explanation:      

Part 1)            

Multiply by -1 both sides

   

The solution is the interval -------> [-1.817,∞)

The solution in the attached figure N 1    

Part 2)      

rewrite

     

Multiply by -1 both sides

   

     

   

The solution is the interval--------> (0.09,∞)

The solution in the attached figure N 2

Part 3)

combine like terms

 

Adds 8 both sides

The solution is the interval--------> (-∞,6]

The solution in the attached figure N 3  

Part 4)    

Adds 5 both sides

Multiply by -1 both sides

Divide by 2 both sides

The solution is the interval--------> (-7,∞)

The solution in the attached figure N 4  

Part 5)

applying distributive property left side

Subtract 14 both sides

Divide by 7 both sides

The solution is the interval--------> (-∞,-13)

The solution in the attached figure N 5

Part 6)

applying distributive property left side

Adds 117 both sides

Divide by -1 both sides

Divide by 13 both sides

The solution is the interval--------> [-9.31,∞)  Answer:

Part 1)

Part 2)    

Part 3)

Part 4)  

Part 5)

Part 6)

Step-by-step explanation:      

Part 1)            

Multiply by -1 both sides

   

The solution is the interval -------> [-1.817,∞)

The solution in the attached figure N 1    

Part 2)      

rewrite

     

Multiply by -1 both sides

   

     

   

The solution is the interval--------> (0.09,∞)

The solution in the attached figure N 2

Part 3)

combine like terms

 

Adds 8 both sides

The solution is the interval--------> (-∞,6]

The solution in the attached figure N 3  

Part 4)    

Adds 5 both sides

Multiply by -1 both sides

Divide by 2 both sides

The solution is the interval--------> (-7,∞)

The solution in the attached figure N 4  

Part 5)

applying distributive property left side

Subtract 14 both sides

Divide by 7 both sides

The solution is the interval--------> (-∞,-13)

The solution in the attached figure N 5

Part 6)

applying distributive property left side

Adds 117 both sides

Divide by -1 both sides

Divide by 13 both sides

The solution is the interval--------> [-9.31,∞)