Question

Which graph shows the solution set of the compound inequality 1.5x-1>6.5 or 7x+3<-25

Answer 1

For this case we have the following inequations:
 1.5x-1> 6.5
 7x + 3 <-25
 Clearing x from each one we have:
 For 1.5x-1> 6.5:
 1.5x> 6.5 + 1
 1.5x> 7.5
 x> 7.5 / 1.5
 x> 5
 For 7x + 3 <-25:
 7x <-25-3
 7x <-28
 x <-28/7
 x <-4
 The solution set is:
 (inf, -4) U (5, inf)
 Answer:
 See attached image