Help solve a problem of absolute value, about the zero point discussion

Updated on educate 2024-04-09
16 answers
  1. Anonymous users2024-02-07

    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

  2. Anonymous users2024-02-06

    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

  3. Anonymous users2024-02-05

    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

  4. Anonymous users2024-02-04

    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.

  5. Anonymous users2024-02-03

    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,

  6. Anonymous users2024-02-02

    When the absolute value symbol is opened, it is:

    x+(x-1)+(x-2)+(3-x)+(4-x)+(5-x)=9

  7. Anonymous users2024-02-01

    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

  8. Anonymous users2024-01-31

    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).

  9. Anonymous users2024-01-30

    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.

  10. Anonymous users2024-01-29

    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.

  11. Anonymous users2024-01-28

    1.A number of distances to the origin2The bigger the 3Negative number 4Greater than or equal to.

  12. Anonymous users2024-01-27

    Distance from the origin.

    The greater the negative number. Greater than or equal to.

    I don't know about the back 2.

  13. Anonymous users2024-01-26

    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

  14. Anonymous users2024-01-25

    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.

  15. Anonymous users2024-01-24

    |3x-1|+2=0, |3x-1|=-2 0, obviously not true, so there is no solution.

  16. Anonymous users2024-01-23

    This needs to be discussed in a categorical manner.

    x 0, |-x|=x

    When x 0, |-x|=-x

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