Answer:
x < 3 or x > 3/14
True for all x
Step-by-step explanation:
7x−9<12 or 14x+8>11
Solve the first part of the inequality:
7x−9<12
Add 9 to each side.
7x−9+9<12+9
7x< 21
Divide by 7.
7x/7 < 21/7
x < 3
Now solve the second part of the inequality:
14x+8>11
Subtract 8 from each side.
14x+8-8>11-8
14x> 3
x > 3/14
Combine back together:
x < 3 or x > 3/14
This is an overlapping region so it is true for all x.