Is there a minimum value for the absolute value of x-3 + X-6? If so, write it down. If not, explain why

yes

If x is a rational number, is there a maximum for the absolute value of X-1 + X + 3? If so, please give the minimum. If not, please give the reason

Find the maximum value of | X-1 | + | x + 3 |
Segmented analysis
If x ≥ 1, the equation is reduced to X-1 + X + 3 = 2x + 2, and the minimum value is 4
-The equation of 3 ≤ x ≤ 1 is reduced to 1-x + X + 3 = 4
When x ≤ - 3, it is reduced to 1-x-x-3 = - 2x-2, and then there is the minimum value x = 4
Then the equation has a minimum and the minimum is 4

Find the absolute value 1: | x-3 | 5 | 13 2: | 5x + 4 | 7 3: | 3x + 9 | 4

Question 1: | x-3|

According to the property that the absolute value of X is less than 0, when x takes what value, does the absolute value of X-2 have the minimum value? What is the minimum value
What is the maximum value of 3-x-2

First, when x = 2, there is a minimum value, which is 0
Second, when x = 2, there is a maximum, and the maximum is 3
In addition, the property in your question should be that the absolute value of X is not less than 0. You have the wrong number. I hope it will be useful to you

If x is a rational number, what is the minimum absolute value of X-1 + x-4

When ｜ X-7 ｜ & gt; 0, it becomes X-7 = x-4, which is obviously contradictory, so ｜ X-7 ｜ & lt; 0, then 7-x = x-4, we can get the answer x = 5.5, the absolute value of rational number is either itself, or larger than itself, it can't be smaller than itself% d% a

If x is a rational number, then the absolute value of x-3 plus the absolute value of X + 1 plus the absolute value of X + 5 is the minimum value of X

|X-3 | x 10 | x 10 1 | x 10 | x 10 5|
Root after square
=Root sign (x ^ 2-6x x 10 9 x ^ 2 x 10 2x 10 1 x ^ 2 x 10 x 10 25)
=Root sign (3x ^ 2 x 6x x x 35)
=Root sign [3 (x x x 1) ^ 2 x 32]
So when x is - 1, the minimum value of the original formula is 4 root sign 2

Let x denote a rational number (or irrational number), ask: does the absolute value of | X-2 | + | x + 3 | have a minimum, why?
Let x denote a rational number (or irrational number), ask: does the absolute value of | X-2 | + | x + 3 | have a minimum, why?
Offer a reward to the high point

The rational number whose absolute value is 4 is () and the irrational number is () | x + 11| + | X-10 | when the minimum value is taken, the value range of X is ()
How to find the minimum of an algebraic expression?

The rational number whose absolute value is 4 is (± 4) and the irrational number is (does not exist) | x + 11 | + | X-10 | when the minimum value is taken, the value range of X is - 11 ≤ x ≤ 10 ()

The absolute value of (x + 7) + the absolute value of (X-2). When the minimum value is taken, what is the value range of X?

You use the axis method
It can be understood as the sum of the distances from a point on the number axis to - 7 and 2
So when - 7

What's the cube of 123

1860867 you can calculate it by computer. Formula: 123 × 123 × 123

Is there a minimum value for the absolute value of x-3 + X-6? If so, write it down. If not, explain why