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progresswomen
@progresswomen
July 2022
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СРОЧНО, ОЧЕНЬ ПРОШУ!!!!!! Помогите ПЖ!!!!! я тему не поняла, дам 12 баллов
1) 1. /х+2/<=1 2. /x-3/<2 3. /x+1/=>3 4. /x-0.3/<4 5. /1.7+x/>5 6. /x+4.8/<=6
2) 1. |x|<=6 2.x>-4 3. x<=2 4.x<=-3
x>5 |x|<=7 | x|>1.5 |x|>1
2-ое знак система перед примером
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sangers
1)
|x+2|≤12 x+2≤12 x≤10 -(x+2)≤12 |×(-1) x+2≥-12 x≥-14 ⇒ x∈[-14;10].
|x-3|<2 x-3<2 x<5 -(x-3)<2 |×(-1) x-3>-2 x>1 ⇒ x∈(1;5).
Остальные решаются аналогично.
2)
|x|≤6 x≤6 -x≤6 |×(-1) x≥-6 x∈[-6;6]
x>5 ⇒
x∈(5;6].
x>-4
|x|≤7 x≤7 -x≤7 |×(-1) x≥-7 ⇒ x∈[-7;7].
x∈(-4;7].
x≤2
|x|>1,5 x>1,5 -x>1,5 |×(-1) x<-1,5 x∈(-∞;-1,5)U(1,5;+∞) ⇒
x∈(-∞;-1,5)U(1,5;2].
x≤-3
|x|>1 x>1 -x>1 |×(-1) x<-1 x∈(-∞-1)U(1;+∞) ⇒
x∈(-∞;-3].
2 votes
Thanks 1
progresswomen
спасибо
sangers
Удачи.
progresswomen
спасибки)))))
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Answers & Comments
|x+2|≤12 x+2≤12 x≤10 -(x+2)≤12 |×(-1) x+2≥-12 x≥-14 ⇒ x∈[-14;10].
|x-3|<2 x-3<2 x<5 -(x-3)<2 |×(-1) x-3>-2 x>1 ⇒ x∈(1;5).
Остальные решаются аналогично.
2)
|x|≤6 x≤6 -x≤6 |×(-1) x≥-6 x∈[-6;6]
x>5 ⇒
x∈(5;6].
x>-4
|x|≤7 x≤7 -x≤7 |×(-1) x≥-7 ⇒ x∈[-7;7].
x∈(-4;7].
x≤2
|x|>1,5 x>1,5 -x>1,5 |×(-1) x<-1,5 x∈(-∞;-1,5)U(1,5;+∞) ⇒
x∈(-∞;-1,5)U(1,5;2].
x≤-3
|x|>1 x>1 -x>1 |×(-1) x<-1 x∈(-∞-1)U(1;+∞) ⇒
x∈(-∞;-3].