Question

Please Solve |2x - 6|<10

Answer 1

The solution is (-2 , 8)

Explanation:

Given that ⇒ |2x - 6| < 10

So, according to the absolute value rules

-10 < 2x - 6 < 10 ⇒ add 6 to all sides

-10 + 6 < 2x - 6 + 6 < 10 + 6

-4 < 2x < 16 ⇒ divide all sides by 2

-2 < x < 8

So, the solution is (-2 , 8)

See the attached figure which represent the solution using the numbers line