Which of the following describes all values of x for which 1–x^2 < 0?
Choices:
A) x > 1
B) x < –1
C) 0 <= x <= 1
D) x < –1 or x > 1
E) –1 <= x <= 1
Which of the following describes all values of x for which 1–x^2 &gt;= 0?   (A) x &gt; 1   Plugged in 2. 1–(2)^2 &gt;= 0 -3&gt;=0? yes. But are these all the values? No. Wrong   (B) x &lt; –1   Plugged in -2. 1–(-2)^2 &gt;= 0 -3&gt;=0? yes. But are these all the values? No. Wrong.   (C) 0 &lt;= x &lt;= 1   Start with 0. 1-0 = 1. Wrong. All the other values wrong as well.   (D) x &lt;= –1 or x &gt;= 1   This is the Correct Answer as it captures both A and B. Answer is D.   (E) –1 &lt;= x &lt;= 1   Plug in 0. Value is greater than 0. Wrong.   Which of the following describes all values of x for which 1–x^2 &gt;= 0?   (A) x &gt;= 1   Plugged in 2. 1–(2)^2 &gt;= 0 -3&gt;=0? yes. But are these all the values? No. Wrong   (B) x &lt;= –1   Plugged in -2. 1–(-2)^2 &gt;= 0 -3&gt;=0? yes. But are these all the values? No. Wrong.   (C) 0 &lt;= x &lt;= 1   Start with 0. 1-0 = 1. Wrong. All the other values wrong as well.   (D) x &lt;= –1 or x &gt;= 1   This is the Correct Answer as it captures both A and B. Answer is C.   (E) –1 &lt;= x &lt;= 1   Plug in 0. Value is greater than 0. Wrong.   Which of the following describes all values of x for which 1–x^2 &gt;= 0?   (A) x &gt;= 1   Plugged in 2. 1–(2)^2 &gt;= 0 -3&gt;=0? yes. But are these all the values? No. Wrong   (B) x &lt;= –1   Plugged in -2. 1–(-2)^2 &gt;= 0 -3&gt;=0? yes. But are these all the values? No. Wrong.   (C) 0 &lt;= x &lt;= 1   Start with 0. 1-0 = 1. Wrong. All the other values wrong as well.   (D) x &lt;= –1 or x &gt;= 1   This is the Correct Answer as it captures both A and B. Answer is C.   (E) –1 &lt;= x &lt;= 1   Plug in 0. Value is greater than 0. Wrong.   Correct Answer is x &lt; –1 or x &gt; 1.
<result>D</result>
Which of the following describes all values of x for which 1–x^2 < 0?