Answer:
The solution of the expression is x>1.
Step-by-step explanation:
Given : Expression \(\frac{1}{2}(-2x-10) >3(4-6x)\)
To find : Solve the expression ?
Solution :
Step 1 - Write the expression,
\(\frac{1}{2}(-2x-10) >3(4-6x)\)
Step 2- Apply distributive property, \(a(b+c)=ab+ac\)
\(\frac{1}{2}\times (-2x)+\frac{1}{2}\times (-10) >3\times 4+3\times (-6x)\)
\(-x-5>12-18x\)
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.
