Question

Can anyone explain how to solve this?

Answer 1

Any ideas of what a "conjunction" is?

Answer 2

Yes, when the values of the variable are both true...

Answer 3

What does it mean for "the value of a variable" to be true?

Answer 4

More precisely @RH what do you mean by "the value of a variable" to be true?

Answer 5

a sentence formed by joining two sentences with the word and is a conjunction. a conjunction is true when both sentences are true

Answer 6

Ah yes; the SENTENCE is true not "the value of a variable."

Answer 7

Values are substituted for the variable, which is in the sentence, and the truth of that sentence is then determined.

Answer 8

Does that make sense?

Answer 9

@RH are you still there?

Answer 10

in this context it might mean that there is just one line joining the circles on the line

Answer 11

- in which case its A

Answer 12

i'm not sure though

Answer 13

cwrw is right. (x>=2)^((x<4).

Answer 14

a conjunction is when the values of x satisfy both inequalities.

Answer 15

$$2 \le x < 4$$

Answer 16

think of conjunction as an AND gate. the values of x in A satisfy both inequalities(gates) therefore making the statement true.

Answer 17

B and C are like OR gates. the values satisfy only one of the inequalities(gates) therefore making the statement true. D is not an inequality at all.

Answer 18

http://www.algebra-online.com/tutorials-2/solving-compound-inequalities-1.htm

Answer 19

Sorry my connection is very low. let me read what you wrote