If |4 - x| less than equals to 1/2 then x is equals to :
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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.
rahman786khalilu:
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Answered by
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Hope it helps u! mark as brainliest
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no |x| > 2 => x > 2 or x > -2
When we Multiply by - inequality changes. and you forgotten that.
not that taking modulus negative in RHS but not in LHS
What is about x>= -9/2
- x < -7/2 does no mean x<7/2 it means x >7/2
- x < -9/2 does no mean x<9/2 it means x >9/2
x should be greater than or equal to 7/2
how to change it
| 4 -x | ≤ 1/2 , -1/2 ≤ 4-x ≤1/2 or -1 ≤ 8-2x ≤ 1,or -1-8 ≤-2x ≤ 1-8, or -9 ≤ -2x ≤ -7 or 9 ≥ 2x ≥7, or 9/2 ≥ x ≥ 72,Hence x=[7/2,9/2]
So friend your answer is correct but with mistakes in the solution
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