Question

Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10. –10 < |3x – 5| < 10 3x – 5 > –10 or 3x – 5 < 10 3x – 5 < –10 or 3x – 5 > 10 –10 < 3x – 5 < 10.

Answer 1

The compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: $3x - 5 < -10$ or $3x -5 > 10$

What is magnitude and sign?

A number has both magnitude(its absolute value) and its sign(positive or negative).

If numbers are negative, the more their magnitude increases, the lesser they become.

If numbers are positive, the more their magnitude increases, the greater they become.

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

|x| = magnitude of x.

Thus, |3x-5| > 10 is true if (3x-5)  < -10 (since in that case, 3x-5 is negative but in negative signed values, values with more magnitude are smaller. Thus |3x-5| > |-10} = 10)

or (3x-5) > 10

(in case if (3x-5) is non-negative).

Thus, the compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: $3x - 5 < -10$ or $3x -5 > 10$

Learn more about compound inequalities here:

https://brainly.com/question/4688732

Answer 2

Answer:

it’s C trust me

Step-by-step explanation: