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

Solution:

It is given that

0.2(x + 20) - 3 > -7 - 6.2x

Let us multiply 10 on both sides

0.2(x + 20) × 10 - 3 × 10 > -7 × 10 - 6.2x × 10

2 (x + 20) - 30 > -70 - 62x

Using the multiplicative distributive property

2x + 40 - 30 > - 70 - 62x

2x + 10 > - 70 - 62x

By subtracting 10 on both sides

2x + 10 - 10 > - 70 - 62x - 10

2x > -80 - 62x

Let us add 62x on both sides

2x + 62x > -80 - 62x + 62x

64x > -80

Dividing both sides by 64

x > -5/4

Therefore, the solution is x > -5/4.

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

Summary:

Completing the steps, the solution of the inequality 0.2(x + 20) - 3 > -7 - 6.2x is x > -5/4.