Question

What is the solution of 4x - 30 ≥ -3x + 12?

Answer 1

First, let's add 30 to both sides:
4x - 30 +30 ≥ -3x + 12+30


4x ≥ -3x + 42

Now, let's add 3x to both sides
4x +3x ≥ -3x+3x + 42
7x ≥ 42

Let's divide both by 7:

x ≥ 6

Answer 2

   4x - 30 ≥ -3x + 12
+ 3x          + 3x       
   7x - 30 ≥ 12
       + 30 + 30
          7x ≥ 42
           7      7
            x ≥ 6

The answer is (1). The solution set is (6, ∞).