Question

Solve
3x+6>-18 or 4x+5>-7

Answer 1

what do you mean or, are implying that one needs to find a solution set that satisfies both inequalities, in which case you must take the intersection of the solution set for each independent inequality. The intersection being the elements present in both sets.

Answer 2

To do this first solve the first inequality, which giver solution to one problem. If your original question does not ask for an intersecting solution, please ignore the last part. so 3x + 6 > -18. Thus subtract by constant number 6 from both sides of inequality

--> 3x > -24 (next step divide by constant, 3)
--> x > -8
--> The first solution set is the interval (-infinity, -8).
--> Now second inequality, 4x > -12, as a result of subtracting constant 6. And divide by 4
--> therefore x > -3. So solution set is (-infinity, -3). Now the intersection of the two solution sets is the interval (-infinity, -3).