Answer:
No, Sorry.
Step-by-step explanation:
Since the bases are different, you'll have to change them even if they have a exponent or not. If you dunno how to make the denominators the same, just multiply the two by eachother.
Example) 1/2 - 3/4
Multiply 2 and 4 together, and then multiply the 4 to the one also. Multiply 2 to four and also to the 3.
The subtract from there.
and then Reduce (if needed.)
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
Integrating gives
To compute the integral, substitute , so that
. Then
Since for all
, we can drop the absolute value, so we end up with
Given that , we have
so that