Solve the inequalities algebraically and write the solution

Solve the inequalities algebraically and write the solution as an interval: |5-2x|>3 Find the inverse of the function below: y=4/x-3 Find the sum of the first 60^th terms in the arithmetic sequence below: -4, 1, 6, 11,... Given that p=12(cos 120 degree+i sin 120 degree) and q=4(cos90 degree+i sin90 degree), evaluate

Solution

4)

a)|5-2x|>3

(5-2x)>3 , 5-2x<-3

5-3>2x ,5+3<2x

2x<2,2x>8

x<1,x>4

x=(-,1)U(4,)

b)y =4/(x-3)

x-3=4/y

x=3+(4/y)

x =(3y +4)/y

f ^-1(y)=(3y +4)/y

f ^-1(y)=(3x +4)/x