I'll start off with 44.
Apply complex arithmetic rule: (a+bi)(c+di)=(ac-bd)(ad+bc)i
a=4, b=3, c=5, d=-6
Plugging them in, we have:
So, simplifying, we get \(38-9i\)
41. First add 8 to both sides, to get, |3x+6|=6
Then, we have, |f(x)|=a - f(x)=-a or f(x)=a
So, 3x+6=-6 or 3x+6=6
So, x=-4, or x=0
Same thing as we did in 41.
Add 2 to both sides, to get, \(|2x+1|\geq7\)
|f(x)| greater than or equal to a, f(x) less than or equal to a, or f(x) greater than or equal to a
Combine the ranges, to get \(x\leq-4 \) or \(x\geq3\)
Ty so so much tertre and Omi! Now I need help understanding 40 and 42 lol
Is it https://www.desmos.com/calculator/tfl8wyadtm