Answer:4
,
5
)
Step-by-step explanation:
See a solution process below:
Explanation:
First, subtract
3
from each segment of the system of inequalities to isolate the
x
term while keeping the system balanced:
−
3
−
12
<
−
3
+
3
−
3
x
≤
−
3
+
15
−
15
<
0
−
3
x
≤
12
−
15
<
−
3
x
≤
12
Now, divide each segment by
−
3
to solve for
x
while keeping the system balanced. However, because we are multiplying or dividing inequalities by a negative number we must reverse the inequality operators:
−
15
−
3
>
−
3
x
−
3
≥
12
−
3
5
>
−
3
x
−
3
≥
−
4
5
>
x
≥
−
4
Or
x
<
5
and
x
≥
−
4
Or, in interval notation:
[
−
4
,
5
)