2 Solve the following two inequalities a 2 pts 0Solutiona 00

2. Solve the following two inequalities: a) (2 pts) 0

Solution

a. 0<2-x<=3

-2<-x<=1

2>x>=1

[1,20

b.1/(x+1)>=2/(2x-1)

1/(x+1) - 2/(2x-1)>=0

-3/(x+1)(2x-1)>=0

Testing points

x+1=0, 2x-1=0

x=-1, x=1/2

(-1,1/2)