Question

Select all the sentences that are open sentences.

A. x=ax=a
B. x/2=cx/2=c iff x=2cx=2c
C. x>1x>1
D. x/2=cx/2=c
E. 1+1=21+1=2
F. x−a=bx−a=b iff x=b+ax=b+a
G. None of the above

Answer 1

The open sentences from the given options are: C. x > 1, D. x/2 = c, F. x - a = b

Step-by-step explanation:

An open sentence is a sentence that contains one or more variables and can be either true or false depending on the values of those variables. From the given options, the open sentences are:

• C. x > 1
• D. x/2 = c
• F. x - a = b

In these sentences, the variables (denoted by x, a, and b) can take on different values, making the sentences either true or false. The other sentences are either equations or statements that are always true or false regardless of the values of the variables.