*Example 5*: Solve and graph: 2*x* - 2 < - 2**or**3(*x* + 5) > 2*x* + 15 (union of sets)

2*x* - 2 < - 2

23(x< 0

x< 0

3x+ 15 > 2x+ 15

3x> 2x

x> 0

Graph:

Example 5

*Example 6*: 2*x* - 3 < 5≤2 - 3*x*

2*x* - 3 < 5 and 5≤2 - 3*x* (intersection of sets)

2*x* - 3 < 5

25≤2 - 3x< 8

x< 4

3≤ - 3x-1≥xx≤ - 1

Graph:

Example 6