Tentukan HP Dari pertidaksamaan berikut, dengan peubah pada bilangan bulat a. 9n-6>5n+2 ................................ ................................ ......
Matematika
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Pertanyaan
Tentukan HP Dari pertidaksamaan berikut, dengan peubah pada bilangan bulat
a. 9n-6>5n+2
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HP = {................................}
b. 2(p-3)>5p+9
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HP ={...................................}
c. -2x+3 ................................
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HP = {....................................}
d. 7(2y+1)>8y-11
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HP={........................................}
a. 9n-6>5n+2
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HP = {................................}
b. 2(p-3)>5p+9
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................................
...............................
HP ={...................................}
c. -2x+3 ................................
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................................
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HP = {....................................}
d. 7(2y+1)>8y-11
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HP={........................................}
1 Jawaban
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1. Jawaban RexyGamaliel
a)
9n - 6 > 5n + 2
9n - 5n > 2 + 6
4n > 8
n > 8:4
n > 2
HP = {n | n > 2 ; n € Bil. bulat}
atau
HP = {3, 4, 5, 6, 7, ...}
b)
2(p - 3) > 5p + 9
2p - 6 > 5p + 9
2p - 5p > 9 + 6
-3p > 15
p < 15:(-3)
*karna dibagi bil. negatif, tanda berubah*
p < -5
HP = {p | p < -5 ; p € Bil. bulat}
atau
HP = {-6, -7, -8, -9, -10, ...}
c)
-2x + 3
....
*tidak bisa diselesaikan karena soalnya kurang jelas*
d)
7(2y + 1) > 8y - 11
14y + 7 > 8y - 11
14y - 8y > -11 + 7
6y > -4
y > -4:6
y > -2/3
HP = {y | y > -2/3 ; y € bil. bulat}
atau
HP = {0, 1, 2, 3, 4, ...}