Question

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求詳解，謝謝

若不等式|ax+3<b的解為-1<x<4,試求2ax+3b<8的解為
唔
4x+3048
【解答】x> 4
2.4
1-4

Answer 1

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參考教學影片
https://www.youtube.com/watch?v=J053g1TBb00&t=17s

可得
|x - 3/2| < 5/2

|-2| * |x - 3/2| < |-2| * 5/2

|-2x + 3| < 5

=> a = -2, b = 5

=> -4x + 15 < 8

=> -4x < -7

=> x > 7/4