For what x is <mstyle displaystyle="true"> 3 x </mrow>

Serena Carpenter

Serena Carpenter

Answered question

2022-05-21

For what x is 3 x x + 3 > 3 x - 2 ?

Answer & Explanation

Vitulloh0

Vitulloh0

Beginner2022-05-22Added 8 answers

Step 1
Note that
3 x x + 3 > 3 x - 2
3 x ( x - 2 ) > ( x - 2 ) ( x + 3 )
3 x 2 - 6 x > x 2 + x - 6
2 x 2 - 7 x + 6 > 0
2 x 2 - 4 x - 3 x + 6 > 0
2 x ( x - 2 ) - 3 ( x - 2 ) > 0
( 2 x - 3 ) ( x - 2 ) > 0
x > 2 or x < 3 2

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