Question

-7x - 4 > 6x - 8
Write in interval notation

Answer 1

To write the inequality in interval notation, we first need to solve it:

-7x - 4 > 6x - 8

Adding 7x to both sides:
-4 > 13x - 8

Adding 8 to both sides:
4 > 13x

Dividing both sides by 13 (and reversing the inequality because we are dividing by a negative number):
x < 4/13

So the solution is x is less than 4/13.
This can be written in interval notation as (-∞, 4/13).