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When x<=-3, |x+3|+|x-4|+|x+1|=-3x, with a minimum value of 9
When -3<=x<=-1, |x+3|+|x-4|+|x+1|=-x+6 with a minimum value of 7
When -1<=x<=4, |x+3|+|x-4|+|x+1|=x+8, with a minimum value of 7
When x>=4, |x+3|+|x-4|+|x+1|=3x, there is a minimum value of 12 In summary, the minimum value is 7, and x = -1
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x -3.
x+3|+|x-4|+|x+1|
x-3-x+4+-x-1
3x 93 x -1.
x+3|+|x-4|+|x+1|
x+3-x+4-x-1
x+67≤-x+6≤9
1 x 4 hours.
x+3|+|x-4|+|x+1|
x+3-x+4+x+1
x+87≤x+8≤12
x 4. x+3|+|x-4|+|x+1|x+3+x-4+x+1
3x+8≥20
So |x+3|+|x-4|+|x+1|The minimum value of is 7, where x = -1
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Do it with geometric methodsx+3|+|x-4|+|x+1|It is the sum of the distances from one point to -3, 4, and -1 on the coordinate axis, and the coordinate axis is drawn, and -1 is in the middle of -3 and 4, because |x+1|>=0, so the x sought should be in the interval [-3,4], in this case|x+3|+|x-4|=7, when x=-1, |x+1|=0,|x+3|+|x-4|+|x+1|There is a minimum value of 7
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Summary. An absolute value refers to the absolute value of a real number, i.e., its plus or minus signs are not taken into account, only its magnitude is considered. The zero point is a number with an absolute value of zero, i.e., 0.
An absolute value refers to the absolute value of a real number, i.e., its plus or minus signs are not taken into account, only its magnitude is considered. The zero point is a number with an absolute value of zero, i.e., 0.
How is the zero point of the absolute value determined.
There are many ways to determine the zero point of the absolute value, that is, 0, the simplest difference is to compare the number with the size of 0, if it is 0 or less than 0, the absolute value of the number is 0. In addition, the zero point of the absolute value function can also be determined by the derivative method, that is, when the derivative of the function is 0, the value of the function is the zero point.
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If the answer is 7km, then I think the problem should be that you only need to send it to A, B, and C stores, and if you need to go back to O, you have to go 10km, first from O to the north, and then to B, and then to the number of C, and finally to A,
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When the absolute value symbol is opened, it is:
x+(x-1)+(x-2)+(3-x)+(4-x)+(5-x)=9
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9 The process is as follows: because x=6005 2002 so x, x-1, x-2 are greater than zero.
So |x|+|x-1|+|x-2|+|x-3|+|x-4|+|x-5|=3x-3+12-3x=9
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On the number line, the absolute value of a number represents the distance (from the origin), and the farther away from the origin, the greater the absolute value. Since the distance is always positive and 0, the absolute value of a rational number cannot be (negative), that is, a takes any rational number, and there is 丨a丨( )0
Rational numbers whose absolute value is equal to the same integer have (0,1) and they (absolute value equal to themselves).
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I don't know if that's right!
1 The absolute value of a number represents the distance (from the number to the origin)2 The farther away from the origin, the absolute value (the smaller).
3 then the absolute value of a rational number cannot be (is a negative number), and 4 has 丨a丨 (greater than or equal to) 0
The last empty is incomprehensible.
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This counts to the origin.
The greater the negative number. Greater than or equal to.
Both positive and absolute values of 0 are equal to themselves.
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1.A number of distances to the origin2The bigger the 3Negative number 4Greater than or equal to.
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Distance from the origin.
The greater the negative number. Greater than or equal to.
I don't know about the back 2.
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x is greater than or equal to 2:10-x
2 less than or equal to x less than or equal to 2: 5x-2
x is less than or equal to 2:2-5x
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The answer is c, because the absolute value x+1 is positive on the definition domain, and the absolute value can be directly removed, while x-1 is - on the definition domain, to become x-1 in the absolute value.
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|3x-1|+2=0, |3x-1|=-2 0, obviously not true, so there is no solution.
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This needs to be discussed in a categorical manner.
x 0, |-x|=x
When x 0, |-x|=-x
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Categorize 1 to 50 and divide them into 7 divided by 7 and divisible by 7, with 8 remaining 1 and 1 remaining and 7 others. In the same way, the elements of the remaining 2 and the remaining 5 cannot exist at the same time, the remaining 3 and the remaining 4 cannot exist at the same time, and the divisible can only exist in one element at most, so at most there are 8 remaining 1, the remaining 2 or 5 choose one category, the remaining 3 or 4 choose one category, and the divisible one can be selected, a total of 23.