解不等式 $|5x-3|<2|3x-7|$。

Answer all questions. You should use a calculator where appropriate.

You must show all necessary working clearly; no marks will be given for unsupported answers from a calculator.

Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.

请回答所有题目。适当时应使用计算器。必须清楚展示所有必要的计算过程；仅给出计算器答案而没有过程，不予评分。除非题目另有精度要求，非精确数值答案保留 3 位有效数字，以度为单位的角度保留 1 位小数。

两边都是非负数，可以等价平方。把二次式因式分解后，用开口方向确定外侧区间。

Both sides are non-negative, so squaring gives an equivalent inequality:

Expanding and rearranging,

The product is positive outside the two roots, so