The first step is to solve the inequality.
The given inequality is expressed as
3x - 11 > 7x + 9
We would add 11 to both sides of the inequality. it becomes
3x - 11 + 11 > 7x + 9 + 11
3x > 7x + 20
We would subtract 7x from both sides of the inequality. it becomes
3x - 7x > 7x - 7x + 20
- 4x > 20
If we divide both sides of the inequality by a negative number, the sign reverses. By dividing by - 4, It becomes
- 4x/-4 < 20/-4
x < - 5
It would be represented on the number line as shown in the diagram below
Looking at the table, x is satisfied by all numbers to the left of - 5. The circle on top of -5 is unshaded because - 5 is not included.