Respuesta :
Answer:
3 <x
Step-by-step explanation:
3(8 - 4x) < 6(x - 5 )
Divide each side by 3
3/3(8 - 4x) < 6/3(x - 5 )
8 -4x < 2(x-5)
Distribute
8 -4x < 2x-10
Add 4x to each side
8 -4x+4x < 2x+4x-10
8 < 6x-10
Add 10
8+10< 6x-10+10
18<6x
Divide by 6
18/6 < 6x/6
3 <x
Start by distributing on both sides of this inequality.
This gives you 24 - 12x < 6x - 30.
Put your x's together on the left by subtracting 6x from both sides.
This gives you 24 - 18x < -30.
Now subtract 24 from both sides to get -18x < -54.
Now divide both sides by -18 and x > 3.
Remember to switch the direction of the inequality sign
when you divide both sides by a negative number.
I have also graphed it below on the number line.