Question

If 2x – 3 < 5x – 3 ≤ 12; x ∈Ν, then

Answer 1

This --> x ∈Ν means that the answer(s) have to be natural numbers also known as counting numbers. I'll throw up the number family tree before we start the problem.

Answer 2

2x – 3 < 5x – 3 ≤ 12
Add 3 to each component
+3 +3 +3
-------------------------------

2x < 5x ≤ 15

Answer 3

0 < x ≤ 3

Which positive integers are greater than 0 AND less than OR equal to 3?

@adamarbour

Answer 4

1,2,3

Answer 5

Correct.

Answer 6

can you help with me with this assignment becuase i have to do it

Answer 7

u there

Answer 8

What assignment are we talking about? I'm mixed up.

Answer 9

here

Answer 10

I'll help out with the first problem or two in this thread.

Answer 11

oh ok what do mods do

Answer 12

Ban people from this site for cheating and stuff like that.

Check out the Code of Conduct

http://openstudy.com/code-of-conduct

Answer 13

11. If (x - a)(x - b) < 0, then

A. x < a

B. x < b

C. x < a and x < b

D. x < a or x < b

E. x = a and x = b

12. If a < 0 and b < 0, then

A. (a + b)^2>0

B. (a + b)^2>=0

C. (a + b)^2<0

D. (a - b)^2<0

E. (a + b)^3>0

Answer 14

11) If (x - a)(x - b) < 0

then, one factor is positive and the other is negative.

Two cases emerge.

(1) (x - a) >0 AND (x - b) < 0

OR

(2) (x - a) <0 AND (x - b) > 0

Answer 15

12) If a < 0 and b < 0.

If both a and b are negative, then their sum is negative.

The square of a negative number is positive.

Look for that option.