Solve for x :-
➩ mod(x - 2) is greater then or equal to 5.
How to do the last step, please explain sir.

Question

Solve for x :-
➩ mod(x - 2) is greater then or equal to 5
How to do the last step, please explain sir

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:

x-2≥5⇒x-2≤-5 or x-2≥5        When x≥a, then x≤-a or x≥a⇒x≤-5+2 or x≥5+2⇒x≤-3 or x≥7∴ x∈(-∞,-3]∪[7,∞)

Hope
this
information will clear
your doubts about the
topic
Regards