# Solving Inequalities

Solve:

-4 (x+6) < -4 -4x

Is the answer, x< -10;

x> -10;

all real numbers

or no solution?

Please show step by step how to solve the inequality. Also, I came up with "x<0" but I do not know if this means "no solution" or "all real numbers" Can you please explain step by step how to solve the inequality and also what no solution and all real numbers means.

Thank You!

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#### Solution Preview

Please see the attached file for the complete solution.

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This inequality ends up being a "special case" in that when you attempt to solve for x, the variable cancels completely.

Let's first look at how to solve the inequality:

First distribute the -4 on the left side. That is, multiply the terms ...

#### Solution Summary

An inequality is solved.

$2.19