Question

Help dong kak
makasih yaa:)

Answer 1

Verified answer

5(x - 7) + 3 ≤ 2x - 4 < -10 + 4x
5x - 35 + 3 ≤ 2x - 4 < 4x - 10
5x - 32 ≤ 2x - 4 < 4x - 10
1) 5x - 32 ≤ 2x - 4
=> 5x - 2x ≤ 32 - 4
=> 3x ≤ 28
=> x ≤ 28/3
2) 5x - 32 < 4x - 10
=> 5x - 4x < 32 - 10
=> x < 22
3) 2x - 4 < 4x - 10
=> 2x - 4x < -10 + 4
=> -2x < -6
=> x > 3
1) xxxxxxxxxxxxxxxxx [28/3] .......................
2) xxxxxxxxxxxxxxxxxxxxxxxxxx (22) .......
3) ............. (3) xxxxxxxxxxxxxxxxxxxxxxxxxx
HP = {x | 3 < x ≤ 28/3, x € R}
= {x | 3 < x ≤ 9 1/3, x € R}

Answer 2

Verified answer

Materi : Program Linear
Bahasan : Pertidaksamaan Linear
Jawaban : HP = { x | 3 < x ≤ 28/3 }

Langkah - langkah :
5(x - 7) + 3 ≤ 2x - 4 < -10 + 4x memiliki
a. 5(x -7) + 3 ≤ 2x - 4
⇒ 5x - 32 ≤ 2x - 4
⇒ 5x - 2x ≤ - 4 + 32
⇒ 3x ≤ 28
⇒ x ≤ 28/3
b. 2x - 4 < -10 + 4x
⇒ -4x + 2x < -10 + 4
⇒ -2x < -6
⇒ x > 3
Garis bilangan :
a. x ≤ 28/3
<==========(28/3)===
b. x > 3
==(3)==============>
Kombinasikan :
==(3)==> x <=== (28/3)=
Maka HP :
HP = { x | 3 < x ≤ 28/3 }