Solve the inequality. write your final answer in interval notation.
5x + 2 > 7x - 1

In this scenario, we are solving the inequality.

What this means is that we would need to get x on one side in order to figure out what x is.

Solve:

5x + 2 > 7x - 1

Subtract 7x from both sides

-2x + 2 > -1

Subtract 2 on both sides

-2x > -3

Divide both sides by -2. Flip the inequality since you're dividing by a negative

x < 3/2

In interval notation it would be:

( -∞ , 3/2) or ( -∞ , 1.5)