domdominations domdominations
  • 14-12-2020
  • Mathematics
contestada

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

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

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 19-12-2020

Answer:

x < -2 and x > 2

Step-by-step 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

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