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-- Mathematics - Section B1
Relations and Functions
Solve $|x-3|+|x-2|=1$
1 ≤ x ≥ 3
2 ≤ x ≤ 3
2 ≤ x ≤ 5
2 ≥ x ≥ 4
$|x-3|+|x-2|=1$
$⇒|x-3|+|x-2|=(3-x)+(x-2)$
⇒ x - 3 ≤ 0 and x - 2 ≥ 0
⇒ x ≤ 3 and x ≥ 2
⇒ 2 ≤ x ≤ 3