Question

1. 6-2(y-3) ≤ 3(2y-4)
2. -2n lebihkecil dari 3n-5
3. 25+2q ≥ 3(q-8)
4. 3p-14 lebihkecil dari 4p+2

Answer 1

1.
6 - 2(y - 3) ≤ 3(2y - 4)
6 - 2y + 6 ≤ 6y - 12
12 - 2y ≤ 6y
12 + 12 ≤ 6y + 2y
24 ≤ 8y
3 ≤ y
y ≥ 3
HP = {3, 4, 5, ......}

2.
-2n < 3n - 5
5 < 3n + 2n
5 < 5n
1 < n
n > 1
HP = {2, 3, 4, .....}

3.
25+2q ≥ 3(q - 8)
25 + 2q ≥ 3q - 24
25 + 24 ≥ 3q - 2q
49 ≥ q
q ≤ 49
HP = {....., 47, 48, 49}

4.
3p - 14 < 4p + 2
-14 - 2 < 4p - 3p
-16 < p
p > -16
HP = {-15, -14, -13, ....}

Answer 2

1) 6-2(y-3) ≤ 3(2y-4)
    6-2y+6 ≤ 6y-12
     -2y+12 ≤ 6y-12
      -8y ≤ -24
         y ≥ 3

2) -2n < 3n-5
    -5n < -5
       n > 1

3) 25+2q ≥ 3(q-8)
    25+2q ≥ 3q-24
    -q ≥ -49
      q ≤ 49

4) 3p-14 < 4p+2
     -p < 16
      p > -16