Solution of |x - 1| ≥|x - 3| is

Question

Solution of |x - 1| ≥|x - 3| is (A) x ≤ 2 (B) x ≥ 2 (C) [1,3] (D) None of these

Tardigrade Admin · Accepted Answer

| x -1| is the distance of x from 1 . |x-3| is the distance of x from 3 . The point x=2 is equidistant from 1 and 3 . Hence, the solution consists of all x ≥ 2.

Q. Solution of $∣ x - 1∣ \geq ∣ x - 3∣$ is

$x \leq 2$

$x \geq 2$

$[1, 3]$

None of these

$∣ x - 1∣$ is the distance of $x$ from $1.$
$∣ x - 3∣$ is the distance of $x$ from $3.$
The point $x = 2$ is equidistant from 1 and 3 .
Hence, the solution consists of all $x \geq 2$ .

Q. Solution of ∣x−1∣≥∣x−3∣ is

x≤2

x≥2

[1,3]