Answer:
The solution to the inequality is all real values of n that respect the following condition: 2 < n < 6
Step-by-step explanation:
First, we need to separate the modulus from the rest of equation. So
3-l4-nl>1
-|4-n|>1-3
-|4-n|>-2
Multiplying everything by -1.
|4-n|<2
How to solve:
|x| < a means that -a<x<a
In this question:
|4-n|<2
-2<4-n<2
This means that:
4 - n > -2
-n > -6
Multiplying by -1
n < 6
And
4 - n < 2
-n < -2
Multiplying by 1
n > 2
Intersection:
Between n > 2 and n < 6 is 2 < n < 6
So the solution to the inequality is all real values of n that respect the following condition: 2 < n < 6
Answer:
12
Step-by-step explanation:
12
Answer:
28
Step-by-step explanation:
Cross multiply
18k = 12 x 42
18 k = 504
k = 504/18
k = 28
To divide 36/9 using the number line you have to jump from zero with length of 9 until reach 36, and the result will be the number of jumps.
I do the jumps by steps, but you can draw in the number line:
0. First jump from 0 to 9.
,
1. Second jump from 9 to 9+9=18.
,
2. Third jump from 18 to 18+9=27.
,
3. Fourth jump from 27 to 27+9=36.
,
4. Great!! We already reach 36.
So, we need four jumps of 9 to reach 36 from 0.
So, the result is 36/9=4
