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Properties of Modulus

The minimum v...

Question

The minimum value of $| 3 z - 3 | + | 2 z - 4 |$ equal to

1

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2

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3

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4

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Solution

The correct option is B $2$
$| 3 z - 3 | + | 2 z - 4 |$
when, $z = 1$
$| 3 \times 1 - 3 | + | 2 \times 1 - 4 |$
$= | 3 - 3 | + | 2 - 4 |$
$= 0 + | - 2 |$
$= 2$

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