Question

solution of mod (x-1)greater than or equal to mod (x-3)is
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Answer 1

Answer:

I think this is what you mean:

| x-1 | ≥ | x-3 |

you can solve this question in more than one way.

One of these is,

| x-1 | - | x-3 | ≥ 0

Find the critical points, here they are 1 and 3.

solve for x<1,

-(x-1)-(-(x-3))≥0

-x+1+x-3≥0

-2≥0 (not possible)

Thus, x should be greater than 1

For 1 ≤ x ≤ 3

(x-1)-(-(x-3))≥0

2x-4≥0

x≥2

So one solution set is 2≤x≤3

For x>3

(x-1)-(x-3)≥0

2≥0

Therefore from above two results,

x≥2

Hope you got it

Step-by-step explanation:

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