Respuesta :
Answer:
x > 1/6
Step-by-step explanation:
-2(8x-4)<2x+5
We open the brackets first
-16X + 8 < 2X + 5
Combine the like terms, we subtract 8 on both sides
-16x + 8 -8 < 2x +5 -8
-16 x < 2x -3
We subtract 2x on both side
-16x -2x < -3
-18 x < -3
simplify, by dividing both side by -18,
-18x/-18 <-3/18
x > 1/6 (reverse the sign to >)
x > 1/6
Answer:
Choice A is correct answer.
Step-by-step explanation:
Given inequalities is:
-2(8x-4) < 2x+5
We have to find the value of x.
-16x+8 < 2x+5
Adding 16x to both sides of inequalities , we get
16x-16x+8 < 16x+2x+5
0+8 < 18x+5
Adding -5 to both sides of inequality ,we get
-5+8 < 18x+5-5
3 < 18x
Multiplying by 1/18 to both sides of above equation,we get
1/18(3) < 1/18(18xx)
3/18 < x
Swapping sides,we get
x > 3/18
x > 1/6 which is the answer.