Compound Inequalities

Compound Inequalities

Summary Compound Inequalities


Example 5: Solve and graph: 2x - 2 < - 2or3(x + 5) > 2x + 15 (union of sets)

2x - 2 < - 2

2x < 0
x < 0
3(x + 5) > 2x + 15
3x + 15 > 2x + 15
3x > 2x
x > 0
x < 0 or x > 0.
Graph:
Example 5


Example 6: 2x - 3 < 5≤2 - 3x

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

2x < 8
x < 4
5≤2 - 3x
3≤ - 3x-1≥xx≤ - 1
x < 4 and x≤ - 1.
Graph:
Example 6