Question

l x-1 l<=5, l x l>=2 solve the inequalities ​

Answer 1

in the solution I have used to identities related to modulus inequalities.

these are

$|x| \leqslant y \: \: \: \: \\ then \: - y \leqslant x \leqslant y$

$|x| \geqslant y \:$

$then \: \: x \leqslant - y \: \: or \: \\ x \geqslant y$

now using these formulas make two cases and solve them separately and at last when two equations are formed take their intersection and find the final value of x

you can also find intersection of two equations with with the help of real number line

(in attachment)

it will be easier for you

REFER TO ATTACHMENT

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