Question

Please solve! \[\left| 2x-3 \right|<8\]

Answer 1

|2x - 3| < 8 or |2x - 3| > -8

2x - 3 < 8

2x < 8 + 3

2x < 11

x < 5.5

or

2x - 3 > -8

2x > -8 + 3

2x > -5

x > -2.5

Answer 2

Let's remove the absolute value\[-8 \lt 2x -3 \lt 8\]Adding 3 through to all terms, \[-5 \lt 2x \lt 11\]Dividing through by 2, \[-5/2 \lt x \lt 11/2\]

Answer 3

Thank you guys :D