Answer :

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.