(a) 画出 $y=|2x-3|$ 的图像的草图。

(b) 解不等式 $3x-1<|2x-3|$。

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。

画绝对值的两条直线分支，标出顶点和纵轴截距。

The graph is V-shaped, with vertex $(3/2,0)$ and $y$-intercept $(0,3)$.

Draw $y=3-2x$ for $x<3/2$ and $y=2x-3$ for $x\geqslant3/2$, with both branches solid and extending upwards.

按绝对值内部的符号分段，解出的条件还要符合本段范围。

If $x<3/2$,

so $x<4/5$, which is within this branch.

If $x\geqslant3/2$,

This is incompatible with $x\geqslant3/2$. Hence