Randolph College
Department of Mathematics and Computer Science

 

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.  \((-\infty, 0) \cup [2, \infty)\)