Question

1/2 (-2x - 10) > 3(4-6x)

Answer 1

`(1)/(2)` (-2x - 10) > 3 (4 - 6x) Use the DIstributive Property on both sides
-x - 5 > 12 - 18x Add 18x to both sides
17x - 5 > 12 Add 5 to both sides
17x > 17 Divide both sidse by 17
x > 1

Answer 2

The solution of the expression is x>1.

Explanation:

Given : Expression
`(1)/(2)(-2x-10) >3(4-6x)`

To find : Solve the expression ?

Solution :

Step 1 - Write the expression,

`(1)/(2)(-2x-10) >3(4-6x)`

Step 2- Apply distributive property,
`a(b+c)=ab+ac`

`(1)/(2)* (-2x)+(1)/(2)* (-10) >3* 4+3* (-6x)`

`-x-5>12-18x`

Step 3 - Take like terms together,

`-x+18x>12+5`

Step 4 - Add the like term,

`17x>17`

Step 5 - Divide 17 both side,

`x>1`

Therefore, The solution of the expression is x>1.