**Question: **(25 points)

(a) Solve -5 £?3x + 1 £?3 for x. Express your answer using a line graph and in interval notation.

(b) A car salesman has two choices for his salary.

Plan A – A salary of $100 per week plus a commission of 3% of gross sales

Plan B – A salary of $75 per week plus a commission of 5% of gross sales.

For what gross sales is plan B better?

(c) Solve |x + 3| = 2 for x.

(d) Sketch the graph of the function y = | x + 3 | and use it to verify your solution

of part c.