Question

The answer to the inequality, |3x| < -6, is no solution.

Why isn't there a solution to this inequality? Please explain your thinking.

Answer 1

x < -2 and x > 2

Explanation:

Given the inequality |3x| < -6

The function inside modulus can take both positive and negative value.

For the positive value;

3x < -6

x < -6/3

x < -2

For the negative value;

-3x < -6

-3x/-3 > -6/-3

x > 2

Hence the solution to the inequality is x < -2 and x > 2