Question

Tentukan himpunan penyelesaian dari pertidaksamaan berikut. a. 2x-6>8x+5 c. 2/3 p+4<8 b. 1/2x+5>15 d. 2y-7/2<3

Answer 1

A.2x-6>8x+5
-6x>3
x<1/-2
trus bikin garis bilangan arah nya ke kiri.
hp {x<1/-2}

b.1/2x+5>15
1/2x>10
x>10/1/2
x>20
garisbilangan→kanan
hp {x>20}

c.2/3 (p+4)<8
2/3p+8/3<8
2/3p<8-8/3
2/3p<16/3
p<16/3/2/3
p<32/9
garisbilangan←ke kanan kiri
Hp{p<32/9}

d.2y-7/2<3
2y<3+7/2
2y<13/2
y<13/2/2
y<13/4
garis bilangan←kiri
Hp {y<13/4}