Question

(1) Find those x satisfying each of the equations below:
|x-1| = | x-31
ii)
x-3) = 1 x-41
in) |x+2) = | x-51 baldi
22
iv) 1 x = ( x +11​

Answer 1

Answer:

..............................xd4 xd xd xd xd

Answer 2

Answer:

Step-by-step explanation:

i. |x−1|=|x−3|

|x−1| means distance between x and 1

|x−3| means distance between x and 3. Therefore the distance from x to 1 and 3 are equal.

x is in between 1 and 3 , that is x is the midpoint of 1 and 3.

x=12×(1+3)=12×4=2

ii. |x−3|=|x−4|

The distance from x to 3 and 4 are equal.

∴ x is in between 3 and 4 , that is x is the midpoint of 3 and 4.

iii. |x+2|=|x−5||x+2|=|x−(−2)|

The distance from x to -2 and 5 are equal.

∴ x is in between -2 and 5 , that is x is the midpoint of -2 and 5.

iv. |x| = |x + 1|

|x + l] = ]x – (-l)|

The distance from x to -1 and 0 are equal.

∴ x is in between -1 and 0, that is x is the midpoint of -1 and 0.