| 3x 5 | = 1 ( Given #160; ) ⇒ 3x 5 = ± 1 Case I: 3x 5 = 1 3x = 5 + 1 x = 63 = 2 Case II: 3x 5 = 1 3x = 5 1 ...

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Types of Inequalities

Solve.i |3x...

Question

Solve.
(i) $| 3 x - 5 | = 1$

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Solution

$| 3 x - 5 | = 1 (Given)$
$\Rightarrow 3 x - 5 = \pm 1$

Case I:-
$3 x - 5 = 1$
$3 x = 5 + 1$
$x = \frac{6}{3} = 2$

Case II:-
$3 x - 5 = - 1$
$3 x = 5 - 1$
$x = \frac{4}{3}$

Hence, this is the answer.

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