We can rewrite |x-3|<10 in the following way.
-10<x-3<10
But can rewrite |x-3|+|x+1|+|x|<10 in the following way?
-10<x-3+x+1+x<10.
If we cannot, will anybody please explain why we cannot?
I didn't face any problem to solve the equation you solved. But I faced to solve the first three equations. Will you please let me know whether the method you have shown is applicable for the equation 1,2 and 3?
Equation 1,2 and 3 are below:
1) -|2x-3|+|5-x|+|x-10|=|3-x|
2)...
I am very much thankful to you for elaborate explanation.
I am afraid to say that I hardly understand your explanation. From a discription, it is impossible for me to visualize the whole situation. Will you please draw graphs to solve the above stated problems? The above problems are new to me...
1) -|2x-3|+|5-x|+|x-10|=|3-x|
2) |2x-3|-|5-x|-|x-10|-|3-x|=28
3) -|2x-3|+|5-x|+|x-10|≥|3-x|
How can we solve these problems?
The method I know is to plug in the critical values to see which modulus becomes positive and which one becomes negative. Then find out the values of x for which the...
@skeeter , Will you please say what we could do if f(x)=2 instead of f(x)=12?
And probably for f(x)=12, still there might be two possible solutions. Will you please say what those solutions are, and how to find out those solutions?
In a video, a person discussed how to solve modulus problems with a negative sign. This is the link of that video lecture.
He showed two methods to solve the problem. The first method is commonly used. Later he showed another method where he used a number line and a graph.
Unfortunately, I...
I didn't want solution of the following problem. When I was trying to solve the following problem, I found some difficulties that should be solved with the help of this forum.
We can consider a substance of 0.5kg. It hits a horizontal spring with a velocity of 4 m/s. As a result spring gets...
In my textbook, the formula used to evaluate the value of work done by horizontally placed spring has been evaluated by applying the rules of integration. I want to evaluate it with another simple way except calculas. I want to learn the simplest way to evaluate it in such a way that even a boy...
In my textbook, gravitational potential , V=-(GM)/r, has been evaluated by applying calculas. I want to evaluate it with another simple way except calculas. I want to learn the simplest way to evaluate it in such a way that even a boy of 12 years old can understand it without facing any difficulty.
This is not homework. This problem has been made by me. One day ago, I asked help about how to determine the direction of velocity if force act with velocity at right angle. After asking help, some comments helped me to give some better idea. Then I made this problem with some values to realize...
When an object, orbiting in circular path, experiences the sensation of being thrown outward away from the of circle. We often think that an outward force or centrifugal force is responsible for this trend. But it is wrong idea. Inertia is responsible for this.
Since Earth rotates around its...