Question

Tentukan x-3≤5x-3/2<8-x

Answer 1

Kita selsaikan pertidaksamaan pertama

1.  x-3≤5x-3/2
     x-5x≤ -3/2 +3
     -4x ≤ (-3+6)/2
     -4x ≤ 3/2
       x≤ -3/8

2. 5x-3/2<8-x
     5x+x < 8+3/2
       6x < 19/2
         x < 19/12

jdi hp { xI -3/8 ≥ X < 19/12 ,X∈R}

Answer 2

X-5x≤-3/2+3<8-x
-4x ≤(-3-6)/2<8-x
-4x ≤ -9/2<8-x
x≥-9/2 :-4<8-x
x≥ -9/2. -1/4<8-x
x≥9/8-8<-x
x≥(9-64)/8<-x
x≥-55/8<-x
x≥55/8<x

hp{55/8,56/8,...}

hpo