If - x -3- x -2-1- then x -A- 2-3B- -2-3- -2-3D- 2-3

The correct option is B [2,3]|x 3|+|x 2|=1 When x 2 2x+5=1 ⇒ x=2 No solution When 2≤ x 3 1=1 which is true When x≥ 3 nbsp; 2x 5=1 ⇒ x=3 ∴ x∈ [2,3] ...

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Standard X

Mathematics

Modulus Function

If | x -3|+| ...

Question

If $| x - 3 | + | x - 2 | = 1$ , then $x \in$

[2, 3]

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(2, 3]

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Solution

The correct option is A $[2, 3]$
$| x - 3 | + | x - 2 | = 1$
When $x < 2$
$- 2 x + 5 = 1$
$\Rightarrow x = 2$ No solution

When $2 \leq x < 3$
$1 = 1$ which is true

When $x \geq 3$
$2 x - 5 = 1$
$\Rightarrow x = 3$

$∴ x \in [2, 3]$

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Modulus Function

Standard X Mathematics

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If |x−3|+|x−2|=1, then x∈

The correct option is A [2,3]|x−3|+|x−2|=1 When x<2 −2x+5=1 ⇒x=2 No solution When 2≤x<3 1=1 which is true When x≥3 2x−5=1 ⇒x=3 ∴x∈[2,3]

If $| x - 3 | + | x - 2 | = 1$ , then $x \in$

The correct option is A $[2, 3]$
$| x - 3 | + | x - 2 | = 1$
When $x < 2$
$- 2 x + 5 = 1$
$\Rightarrow x = 2$ No solution

When $2 \leq x < 3$
$1 = 1$ which is true

When $x \geq 3$
$2 x - 5 = 1$
$\Rightarrow x = 3$

$∴ x \in [2, 3]$