Quick questions on The modulus function explained: H2 Mathematics Functions and Graphs

To sketch $y = |\mathrm{f}(x)|$, first sketch $y = \mathrm{f}(x)$, then reflect any part below the $x$-axis up to above it. Parts already at or above the axis are unchanged. The result is never negative and has a sharp corner wherever the original graph crossed the axis.

Sketch $y = |3 - x|$, marking the corner and intercepts. [2 marks]

Solve $|2x + 1| = 7$. [2 marks]

Solve the inequality $|x - 3| \leq 2$. [2 marks]