Respuesta :
x + 3 < 4x - 12 or 4x - 12 < 20
-x -x +12 +12
3 < 3x - 12 or 4x < 32
+12 +12 ÷4 ÷4
15 < 3x or x < 8
÷3 ÷3
5 < x
5 < x < 8
Graph: 5 o---------------o 8
Answer:
5<x<8
Step-by-step explanation:
x + 3 < (4x – 12) < 20
Solve the inequality
x + 3 < 4x – 12 < 20
We break the inequality
x+3<4x-12 and 4x-12<20
solve it separately
x+3<4x-12
subtract 4x on both sides
-3x +3< -12
subtract 3 on both sides
-3x < -15
divide by -3 on both sides
x> 5
4x-12<20
add 12 on both sides
4x <32
divide by 4
x<8
x>5 and x<8
so x lies between 5 and 8, 5<x<8
the graph is attached below