Question

Complete the steps to solve the inequality: 0.2(x + 20) – 3 > –7 – 6.2x

Answer 1

The answer is A.(x>-1.25)

Answer 2

The solution of inequality as
`x>-(5)/(4)`

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,

`(64x)/(64)>(-80)/(64)`

Simplify , we get,

`x>-(5)/(4)`

Thus, the solution of inequality as
`x>-(5)/(4)`