First, simplify the two inequalities.
2x - 5 < 7
2x < 12 <-- Add 5 to each side
x < 6 <-- Divide both sides by 2
4x + 10 > 6
4x > -4 <-- Subtract both sides by 10
x > -1 <-- Divide both sides 4
Now we have the compound inequality x < 6 OR x > -1
To fulfill the first inequality, x has to be less 6. For the second inequality, x has to bigger than -1.
So, the answer is B. (-infinity, infinity).