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krabsun
@krabsun
July 2022
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Помогите,пожалуйста,с объяснением
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4,2<x<4,5
а) ⇔ -5(4,2) > -5x >-5(4,5) -22,5< -5x < -21
б) (3·4,2-8) < (3x-8)<( 3·4,5-8) ⇔ (12,6-8)<( 3x-8)< (13,5-8) ⇔4,6<(3x-8)<5,5
в) ( 6-4,2)>(6-x)>(6-4,5) ⇔ 1,5<(6-x)<1,8
д) (4,2)²+1,2 <(x²+1,2)<(4,5)²+1,2 ⇔ 18,84<(x²+1,2)<21,45
г) ((4,5)⁻¹+1) <(1/x +1)< ((4,2)⁻¹+1) ⇔ ((2/9)+1) <(1/x +1)< ((5/21)+1)
⇔ (11/9) <(1/x +1)< (26/21)
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Answers & Comments
Verified answer
4,2<x<4,5а) ⇔ -5(4,2) > -5x >-5(4,5) -22,5< -5x < -21
б) (3·4,2-8) < (3x-8)<( 3·4,5-8) ⇔ (12,6-8)<( 3x-8)< (13,5-8) ⇔4,6<(3x-8)<5,5
в) ( 6-4,2)>(6-x)>(6-4,5) ⇔ 1,5<(6-x)<1,8
д) (4,2)²+1,2 <(x²+1,2)<(4,5)²+1,2 ⇔ 18,84<(x²+1,2)<21,45
г) ((4,5)⁻¹+1) <(1/x +1)< ((4,2)⁻¹+1) ⇔ ((2/9)+1) <(1/x +1)< ((5/21)+1)
⇔ (11/9) <(1/x +1)< (26/21)