Question

complete the steps to solve the inequality:

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

use the distributive property:
\\0.2x + 4 - 3 > -7 - 6.2x\\

combine like terms:
\\0.2x + 1 > -7 - 6.2x\\

use the addition property of inequality:
\\6.4x + 1 > -7\\

use the subtraction property of inequality:
\\6.4x > -8\\

use the division property of inequality:

options:
\\(x > -1.25\\)
\\(x < -1.25\\)
\\(x > -0.8\\)
\\(x < -0.8\\)

Explanation:

Divide both sides by 6.4

Using the Solving Linear Inequalities knowledge point

$$
LATEXBLOCK0
$$

Represent the solution set

Using the Interval Notation knowledge point

$$
LATEXBLOCK1
$$

Answer:

• (A) \(x > -1.25\) (Correct answer)
• (B) \(x < -1.25\)
• (C) \(x > -0.8\)
• (D) \(x < -0.8\)