(a) 画出 $y=|3x-6|$ 的图像的草图。

(b) 解不等式 $5x-3<|3x-6|$。

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。

绝对值使直线在横轴下方的部分向上反射，标出顶点及纵截距。

The graph is V-shaped, with vertex $(2,0)$ and $y$-intercept $(0,6)$.

Its branches are $y=6-3x$ for $x<2$ and $y=3x-6$ for $x\geqslant2$, both drawn as solid lines on or above the horizontal axis.

按 $x=2$ 分段，每次解出的条件都要与本段范围取交集。

If $x<2$,

so $x<9/8$, which satisfies $x<2$.

If $x\geqslant2$,

This is incompatible with $x\geqslant2$. Therefore