Question

Which option represents the solution set of the following equation: -5x + x + 9 = -4x + 12?

a) 0
b) ∅
c) i
d) R

Answer 1

The solution set of the given equation is ∅ (empty set).

Step-by-step explanation:

To find the solution set of the equation -5x + x + 9 = -4x + 12, we need to simplify the equation and isolate x.

-5x + x + 9 = -4x + 12

-4x + 9 = -4x + 12

When we subtract -4x from both sides of the equation, we get:

9 = 12

Since 9 is not equal to 12, there is no solution to this equation. Therefore, the solution set is ∅ (empty set), which makes option b) the correct answer.