Question

{x{ x + 4<0 or 6x>-12)

Answer 1

`x\in (-\infty , -4) \cup (-2,+\infty)`

Explanation:

Solve the system of inequalities:

x + 4 < 0

OR:

6x > -12

The first inequality yields the solution:

x < -4

The second inequality gives the solution:

x > -2

The total solution is the disjunction of the individual solutions, i.e., the union of both.

It can be expressed as

`\mathbf{x\in (-\infty , -4) \cup (-2,+\infty)}`