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August 2022
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nKrynka
Verified answer
Решение
1.
10 < a < 16
1) 10*(1/2) < 1/2 a < 16*(1/2)
5 < 1/2 x < 8
2) 16*(-3) < - 3a < 10*(-3)
- 48 < - 3a < - 30
3) 10 - 16 < a - 16 < 16 - 16
- 6 < a - 16 < 0
2.
2,2 < √5 < 2,3
1)
2,2*5 < 5√5 < 2,3*5
11 < 5
√5 < 11,5
2) - 2,3 < - √5 < - 2,2
3) 2,2 + 3 < 3 + √5 < 2,3 + 3
5, 2 <
3 + √5 < 5,3
4) 3
- 2,3 < 3 - √5 < 3 - 2,2
0,7 < 3 -
√5 < 0,8
3.
15 < x < 20
1) 15*(1/5) < 1/5 x < 20*(1/5)
3 < 1/5 x < 4
2) (-1/2)*20 < (-1/2)*x < (-1/2)*15
- 10
< (-1/2)*x < - 7,5
3) 15*3 <
3x <
20*3
45 < 3x < 60
45 + 10 < 3x + 10 < 60 + 10
55 < 3x + 10 < 70
4.
3,31 < √11 < 3,32
1) 3,31*3 < 3*√11 < 3,32*3
9,93 < 3*√11 < 9,96
2) (- 1/3)*3,32 < (-1/3)*√11 < (-1/3)*3,31
- 332/300 <
(-1/3)*√11 < - 331/300
- 1(8/75) <
(-1/3)*√11 < - 1(31/300)
3) 1,8 + 3,31 < 1,8 + √ 11 < 1,8 + 3,32
5,11 < 1,8 + √ 11
< 5,12
4) - 3,32 < - √11 < - 3,31
4,53 - 3,32 < 4,53 - √11 < 4,53 - 3,31
1,21 < 4,53
- √11 < 1,22
2 votes
Thanks 2
LadySmail
Спасибо огромное
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Answers & Comments
Verified answer
Решение1.
10 < a < 16
1) 10*(1/2) < 1/2 a < 16*(1/2)
5 < 1/2 x < 8
2) 16*(-3) < - 3a < 10*(-3)
- 48 < - 3a < - 30
3) 10 - 16 < a - 16 < 16 - 16
- 6 < a - 16 < 0
2.
2,2 < √5 < 2,3
1) 2,2*5 < 5√5 < 2,3*5
11 < 5√5 < 11,5
2) - 2,3 < - √5 < - 2,2
3) 2,2 + 3 < 3 + √5 < 2,3 + 3
5, 2 < 3 + √5 < 5,3
4) 3 - 2,3 < 3 - √5 < 3 - 2,2
0,7 < 3 - √5 < 0,8
3.
15 < x < 20
1) 15*(1/5) < 1/5 x < 20*(1/5)
3 < 1/5 x < 4
2) (-1/2)*20 < (-1/2)*x < (-1/2)*15
- 10 < (-1/2)*x < - 7,5
3) 15*3 < 3x < 20*3
45 < 3x < 60
45 + 10 < 3x + 10 < 60 + 10
55 < 3x + 10 < 70
4.
3,31 < √11 < 3,32
1) 3,31*3 < 3*√11 < 3,32*3
9,93 < 3*√11 < 9,96
2) (- 1/3)*3,32 < (-1/3)*√11 < (-1/3)*3,31
- 332/300 < (-1/3)*√11 < - 331/300
- 1(8/75) < (-1/3)*√11 < - 1(31/300)
3) 1,8 + 3,31 < 1,8 + √ 11 < 1,8 + 3,32
5,11 < 1,8 + √ 11 < 5,12
4) - 3,32 < - √11 < - 3,31
4,53 - 3,32 < 4,53 - √11 < 4,53 - 3,31
1,21 < 4,53 - √11 < 1,22