Question

If |4 - x| less than equals to 1/2 then x is equals to :

Answer 1

Heya!!

|(4 - x)| ≤ 1/2

(4 - x) ≤ 1/2 OR -(4 - x ) ≤1/2

4 - 1/2 ≤ x OR ( 4 - x ) ≥ -1/2

7/2 ≤ x OR 4 + 1/2 ≥ x

x ≥ 7/2 OR x ≤ 9/2

x € [ 7/2 9/2 ]

Note:-

1) |4 - x| = { (4 - x), x > 4

{ -(4 - x), x < 4

2) When we Multiply by - sign on both sides inequality changes.

Answer 2

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