Find all real numbers x such that 3x - 7\(\le\) 5x + 9. Give your answer as an interval.

Logic Aug 25, 2018

#2**+1 **

\( 3x - 7≤5x + 9\) is our equation, and we want to move all the variables to one side. We can simplify the equation to \( -2x ≤ 16\). Then, we need to divide each side by \(-2\). Since we are dividing/multiplying the equation by a negative number, we need to flip the sign. By doing this, we get \(x ≥ -8\). Since the problem is asking for an interval, we can get \([-8, +∞]\). Please correct me if I made a mistake!

- Daisy

dierdurst Aug 25, 2018