Answer:
The solution of inequality as [tex]x>-\frac{5}{4}[/tex]
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
[tex]0.2\left(x+20\right)\cdot \:10-3\cdot \:10>-7\cdot \:10-6.2x\cdot \:10[/tex]
on simplifying, we get,
[tex]2\left(x+20\right)-30>-70-62x[/tex]
Expand by multiplying 2 , we get,
[tex]2x+40-30>70-62x[/tex]
[tex]2x+10>70-62x[/tex]
Subtract 10 both side, we get,
[tex]2x+10-10>-70-62x-10[/tex]
Simplify, we get,
[tex]2x>-62x-80[/tex]
Add 62x both side, we get,
[tex]2x+62x>-62x-80+62x[/tex]
Simplify , we get,
[tex]64x>-80[/tex]
Divide both side by 64, we get,
[tex]\frac{64x}{64}>\frac{-80}{64}[/tex]
Simplify , we get,
[tex]x>-\frac{5}{4}[/tex]
Thus, the solution of inequality as [tex]x>-\frac{5}{4}[/tex]
