Solve the following system of equations in R- 1 -x-2- - 3

1≤ |x 2|≤ 3 ⇒ xϵ [ 3+2, 1+2]∪ [1+2,3+2] ⇒ xϵ [ 1,1]∪ [3,5] ∴ The solution set for given inequality is[ 1,1]∪ [3,5]. ...

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Inequalities Involving Modulus Function

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Question

Solve the following system of equations in R.
$1 \leq | x - 2 | \leq 3$

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