Question

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

(1) x ≥ 6 (3) x ≥ -6
(2) x ≤ 6 (4) x ≤ -6

Answer 1

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, ∞).

Answer 2

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