Fundamentals of University Mathematics, 3rd Edition

Appendix A

Answers to Exercises

chapter 1

1. 1.S₁ = (–2, 6), S₂ = [–9, –1], S₃ = [2/3,4/3],

    S₄ = (0, ∞), S₅ = (–∞, 3], S₆ = (–∞, 3).

2. Use y = x + |x| =

3. |x – y| = 2 ⇔ (y = x + 2 or y = x – 2). (x, y) = (3, 1) or (1, 3).

6. (a) x = 9, (b) x = 1, (c) x = 5, (d) x = –19/17, (e) x = 3/4.

7. 3, 1, 1/3, 8, 1/5, .

8. x⁶, x², x³/², 2x², x^1/2y³/².

9. .

11. S₁ = (–∞, –1] (1, 3], S₂ = (–∞, –7] (–2, ∞].

    S₃ = (–∞, –1) (1, 3), S₄ = (–∞, –2] ...