mohon bantuannya yaaa makasih:)

Matematika VIII SMP
→→ Pertidaksamaan ←←

Pembahasan :
1/2(2x - 5) ≤ 1
2x - 5 ≤ 2
2x ≤ 7
x ≤ 7/2

Hp : {x ≤ 7/2}
——————————

1/5 + 3(x - 1/4) < 1 - x
1 + 15(x - 1/4) < 5 - 5x
1 + 15x - (15/4) < 5 - 5x
4 + 60x - 15 < 20 - 20x
80x < 20 + 11
80x < 31
x < 31/80

Hp : {x < 31/80}

Jika HP ny digabungkan...
(-~, 3 1/2] v (-~, 31/80)
= (-~, 3 1/2)

1/2 (2x - 5) ≤ 1 ===> kedua ruas dikali 2
(2x - 5) ≤ 2
2x ≤ 7
x ≤ 7/2
HP = {x | x ≤ 3 1/2, x € R} = (-~, 3 1/2]

1/5 + 3(x - 1/4) < 1 - x
1/5 + 3x - 3/4 < 1 - x ===> kedua ruas dikali 20
4 + 60x - 15 < 20 - 20x
60x + 20x < 20 + 15 - 4
80x < 31
x < 31/80
HP = {x | x < 31/80, x € R} = (-~, 31/80)


(-~, 3 1/2] v (-~, 31/80) = (-~, 3 1/2)