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veronica1
@veronica1
June 2021
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BONJOUR aidez moi à cette question svp
soient a et b deux réels tels que
a∈ à l'intervalle -2,5 et b∈ à l'intervalle -3,-1
simplifier : 2║2a +7║-║3b║+2║b+8║-║2b-a║
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anylor
Bonjour
2 |2a +7|-|3b|+2|b+8|-|2b-a|
a ∈ [-2 ;5] et b ∈ à [-3;-1]
2a +7 >0 => 2a> -7 => a > -7/2 => a> -3,5
|2a +7| = 2a +7
b ∈ à [-3;-1]
3b = -3b
b+8 >0 => b > -8
|b+8| = b+8
2b-a < 0
|2b-a| = -2b+a
2 (2a +7)-(-3b) +2(b+8) -(-2b+a )
=4a+14 +3b +2b +16 +2b -a
= 3a +7b +30
2 votes
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2 |2a +7|-|3b|+2|b+8|-|2b-a|
a ∈ [-2 ;5] et b ∈ à [-3;-1]
2a +7 >0 => 2a> -7 => a > -7/2 => a> -3,5
|2a +7| = 2a +7
b ∈ à [-3;-1]
3b = -3b
b+8 >0 => b > -8
|b+8| = b+8
2b-a < 0
|2b-a| = -2b+a
2 (2a +7)-(-3b) +2(b+8) -(-2b+a )
=4a+14 +3b +2b +16 +2b -a
= 3a +7b +30