Answer:
absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12
Step-by-step explanation:
I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)
So an absolute value inequality must be written like this:
| x - a | *inequality* b
a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.
Now, you will have this:
|x - 3| *inequality* 9
Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).
So now we're at:
|x - 3| > 9
To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:
x<-6 and x>12
Hope this is helpful!
Answer:
Step-by-step explanation:
10+100=1000
20+100=2000
Answer:
Step-by-step explanation:
3−4x/3 this is for x
y = -4/3x + 3 this is for why I’m not sure which one your trying to solve for
1/2 divide by 4/1 = 1/8
when u divide u flip the second fraction around and multiply
1/2 x 1/4 = 1/8
Answer:
A. E={
and 
is a multiple of 8}
Step-by-step explanation:
Let represent the set of natural numbers. Then we can write;
.
The set of all natural numbers that are multiples of 8 is then written as;
and is a multiple of 8.
E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;
E={ and is a multiple of 8}
The correct choice is A
