Question

Solve.

|6x − 5| < 7

Write the equivalent compound inequality
< 6x − 5 <

Answer 1

see explanation

Explanation:

Inequalities of the type | x | < a always have solutions of the form

- a < x < a

This can be extended to include expressions, that is

- 7 < 6x - 5 < 7 ( add 5 to all 3 intervals )

- 2 < 6x < 12 ( divide all 3 intervals by 6 )

-
`(1)/(3)` < x < 2