Answer:
Step-by-step explanation:
(
−
∞
,
−
3
)
∪
(
7
,
∞
)
Solve each inequality separately, then combine them with the "or" operator, and then simplify if possible.
Let's start with the first inequality:
−
6
x
+
14
<
−
28
−
6
x
<
−
42
6
x
>
42
x
>
7
Now, we solve the second inequality:
9
x
+
15
<
−
12
9
x
<
−
27
x
<
−
3
Combining the two, we get:
x
<
−
3
or
x
>
7
This cannot be simplified, since the two solution regions do not overlap. The more formal way to write this (with interval notation) is:
(
−
∞
,
−
3
)
∪
(
7
,
∞
)
Hope this helps
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