### Home > AC > Chapter 9 > Lesson 9.1.1 > Problem9-10

9-10.

Identify the statements below as sometimes true, always true, or never true.

 $\lt$ less than $\lt$ less than or equal to $\gt$ greater than $\gt$ greater than or equal to
1. $−4 \lt 9$

1. $x \lt 1$

The answer is true depending on what x equals.
If x is 1 or higher, the statement is not true.
If it is any other number, the statement is true. Therefore, it is sometimes true.

Sometimes true

1. $− 5 \gt −2$

Follow the reasoning in part (a).

Never true

1. $3x + 5 = 2$

3x + 5 = 2
−5 −5
3x = −3

If x is equal to −1, then the statement is true.
Any other time the statement is false.
Therefore, the statement is sometimes true.

Sometimes true

1. $61 = 61$

Always true

1. $−6 \lt −6$

Follow the reasoning in part (a).