Question

Tentukan penyelesaian daricpertidaksamaan berikut!
1. 3 - 2t < 15
2. 16 + 3/5 t < 7
3. 3k > 8k - 10
4. 3y - 5 >= 4y
5. 8m + 5 < 2m - 4
6. 5m - 4 >= 7m - 11
7. -6 < 2p < 16
8. -8 <= -4p <= 28
9. 6 (p + 1) > 2p
10. 5 (p - 4) > 7p - 11
11. 3 (2n - 1) < 4(2n + 3)
12. 2(4 - 3n) <= 4(n - 5)
13. 1/2 (6y + 8) > 1/2 (5y + 12)
14. 3/4 (4p - 12) >= 2/3 (2p + 6)

Keterangan : >= atau <= itu artinya lebih besar sama dengan atau lebih kecil sama dengan
Tolong dikerjakan menggunakan cara kerja , saya sudah kasih poin banyak

Answer 1

1. 3-2t<15
-2t<15-3
-2t<12
t>-6
14. 3/4(4p-12)=2/3(2p+6)
3p-9=4/3p+4
----------------------×3
9p-27=4p+12
9p-4p=27+12
5p= 39
p=39/5
10. 5(p-4)>7p-11
5p-20>7p-11
5p-7p>20+11
-2p>31
p<-31/2
8. -8<= -4p<=28
-8/-4<=p<=28/-4
2>=p>=-7
3. 3k>8k-10
10>8k-3k
10> 5k
2>k
7. -6 < 2p < 16
-6/2< p < 16/2
-3 < p < 8
-3 > p > 8

Answer 2

1)
3 - 2t < 15
-2t < 15 - 3
-2t < 12
-t < 12/2
-t < 6
t > -6

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2)
16 + 3/5 t < 7
kalikan 5
80 + 3t < 35
3t < 35 - 80
3t < -45
t < -45 / 3
t < -15

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3)
3k > 8k - 10
3k - 8k > -10
-5k > -10
-k > -10 / 5
-k > -2
k < 2

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4)
3y - 5 ≥ 4y
3y - 4y ≥ 5
-y ≥ 5
y ≤ -5

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5)
8m + 5 < 2m - 4
8m - 2m < -4 -5
6m < -9
m < -9/6
m < -3/2

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6)
5m - 4 ≥ 7m - 11
5m - 7m ≥ -11 + 4
-2m ≥ -7
2m ≤ 7
m ≤ 7/2

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7)
 -6 < 2p < 16
-3 < p < 8

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8)
-8 ≤ -4p ≤ 28
-2 ≤ -p ≤ 7
2 ≥ p ≥ -7 (pindahkan -7 ke kanan dan 2 ke kiri)
-7 ≤ p ≤ 2

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9)
6 (p + 1) > 2p
6(p) + 6(1) > 2p
6p + 6 > 2p
6p - 2p > -6
4p > -6
p > -6/4

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10)
5 (p - 4) > 7p - 11
5(p) + 5(-4) > 7p - 11
5p - 20 > 7p - 11
5p - 7p > -11 + 20
-2p > 9
-p > 9/2
p < -9/2

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11)
3 (2n - 1) < 4(2n + 3)
3(2n) + 3(-1) < 4(2n) + 4(3)
6n - 3 < 8n + 12
6n - 8n < 12 + 3
-2n < 15
-n < 15/2
n > -15/2

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12)
2(4 - 3n) ≤ 4(n - 5)
2(4) + 2(-3n) ≤ 4(n) + 4(-5)
8 - 6n ≤ 4n - 20
-6n - 4n ≤ - 20 - 8
-10n ≤ -28
-n ≤ -28/10
n ≥ 28/10

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13)
1/2 (6y + 8) > 1/2 (5y + 12)
1/2(6y) + 1/2(8) > 1/2(5y) + 1/2(12)
3y + 4 > 5/2y + 6
kalikan 2
6y + 8 > 5y + 12
6y - 5y > 12 - 8
y > 4

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14)
3/4 (4p - 12) ≥ 2/3 (2p + 6)
3/4(4p) + 3/4(-12) ≥ 2/3(2p) + 2/3(6)
3p - 9 ≥ 4/3p + 4
kalikan 3
9p - 27 ≥ 4p + 12
9p - 4p ≥ 12 + 27
5p ≥ 39
p ≥ 39/5