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

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 $x>-\frac{5}{4}$