Answer:
Step-by-step explanation:
First we need the find the set of x such as 2x + 3 >= -3
2x + 3 >= -3 [Sum -3 in both sides]
2x + 3 - 3 >= - 3 - 3
2x >= -6 [Now, divide both sides by 2]
2x / 2 >= -6/2
x >= - 3
So, for every x>= -3 we have that 2x + 3 >= -3
Now we do the same with the other ineq:
5x-2 < 3 [sum 2 in both sides]
5x - 2 + 2 < 3 + 2
5x < 5 [divide by 5 in both sides]
5x / 5 < 5 / 5
x < 1
So, for every x<1 we have 5x-2<3
Then our set it the intersection of both of the previous sects, it is:
(x<1)intersect(x>=-3):
Solution: -3 =< x < 1
