Solve
-4(x-3)>2x
A. x>6
B. x<2
C. x>3/2
D. x<-1/2
-4(x-3)>2x
x-3 < -1/2 x
3/2 x < 3
x < 2
-4(x-3)>2x
-4x+12-2x>0
-6x>-12
x<2
"The trick is simple when you knows the secret" (-_-)
To solve the inequality -4(x-3) > 2x, follow these steps:
Step 1: Distribute the -4 to the terms inside the parentheses:
-4x + 12 > 2x
Step 2: Combine like terms by adding 4x to both sides of the inequality:
-4x + 4x + 12 > 2x + 4x
12 > 6x
Step 3: Divide both sides of the inequality by 6 to isolate the variable x:
12/6 > 6x/6
2 > x
So the solution to the inequality is x < 2.
Therefore, the correct answer is B. x < 2.