Homework # 3 - Math 149
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
1. The solution to the inequality \(x^2 \geq 2x + 3\) is
a. \(x \geq 3\)
b. \(x \geq 3\) or \(x \leq -1\)
c. \(x \geq 3\) or \(x \geq -1\)
d. \( -1 \leq x \leq 3\)
e. \(x \leq -1\) and \(x \leq 3\)
2. Solve \(x^2 + 3 \geq x\).
a. \((-\infty, \infty)\)
b. no solutions
c. \((-\infty, -1] \cup (5, \infty)\)
d. \((-\infty, -1] \cup [1, 3] \cup [5, \infty)\)
e. \((-\infty, -1) \cup [1, 3) \cup [5, \infty)\)
3. Solve \(x^3 + 4x \leq 4x^2 \).
a. \((-\infty, 0]\)
b. \((-\infty, 0)\)
c. \((-\infty, 0) \cup \{2\}\)
d. \((-\infty, 0] \cup \{2\}\)
e. \((-\infty, 0) \cup [2, \infty)\)