Answer:
The solution of inequality as \(x>-\frac{5}{4}\)
Step-by-step explanation:
Given inequality 0.2(x + 20) – 3 > –7 – 6.2x
We have to solve the given inequality
Consider 0.2(x + 20) – 3 > –7 – 6.2x
Multiply both side by 10, we have
\(0.2\left(x+20\right)\cdot \:10-3\cdot \:10>-7\cdot \:10-6.2x\cdot \:10\)
on simplifying, we get,
\(2\left(x+20\right)-30>-70-62x\)
Expand by multiplying 2 , we get,
\(2x+40-30>70-62x\)
\(2x+10>70-62x\)
Subtract 10 both side, we get,
\(2x+10-10>-70-62x-10\)
Simplify, we get,
\(2x>-62x-80\)
Add 62x both side, we get,
\(2x+62x>-62x-80+62x\)
Simplify , we get,
\(64x>-80\)
Divide both side by 64, we get,
\(\frac{64x}{64}>\frac{-80}{64}\)
Simplify , we get,
\(x>-\frac{5}{4}\)
Thus, the solution of inequality as \(x>-\frac{5}{4}\)
