Question

How do you solve `2x - 5< 3x + 2< 4x - 3`?

Answer 1

Solution : `x >5` In interval notation: `(-7,oo) nn (5 ,oo) or (5,oo)`

Explanation:

1) `2x -5 < 3x +2 or 2x -3x < 5 +2 or -x <7 or x > -7 or (-7,oo)`

2) `3x +2 < 4x -3 or 3x -4x < -3 -2 or -x < -5 or x > 5 or (5,oo)`

`x>5` satisfies both (1) and (2) or `(-7,oo) nn (5 ,oo)`

Solution : `x >5` In interval notation: `(-7,oo) nn (5 ,oo)` or `(5,oo)`

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