Question

What is the reason for each step in the solution of the inequality? −2(x+3)−4>4x+30 Select the reason for each step from the drop-down menus.

Answer 1

The first blank is Distributive Property.
The second blank is Combine like terms.
The third blank is Addition Property of Order

Answer 2

Answer:

Solution for given inequality:

$x \in \bigg(-\infty, \displaystyle\frac{-40}{6}\bigg)$      

Step-by-step explanation:

We are given the following information in the question:

We have to solve an inequality:

$-2(x+3)-4 > 4x+30$

The steps can be explained as:

1. First multiplying all the terms and solving the bracket.

$-2(x+3)-4 > 4x+30\\-2x -6-4>4x+30$

2. Taking all the like terms on one side of equation.

$-2x -6-4>4x+30\\-10 -30 > 4x + 2x$

3. Adding and subtracting the like term.

$-10 -30 > 4x + 2x\\6x < -40$

4. Solving for x

$x < \displaystyle\frac{-40}{6}\\\\x < \frac{-40}{6}\\x \in \bigg(-\infty, \frac{-40}{6}\bigg)$