Question

What's the difference between "and" and "or" in an inequality.

Answer 1

With an "and", you possible solutions have to fit into BOTH inequalities. with an "OR", a solution can be one or the other.

If x<5 and x>-10, then only the numbers between -10 and 5 work. The number 100 might be greater than -10, but it's not ALSO less than 5.

If x<5 OR x>-10, then really, ALL numbers work becuase every number we have is either less that 5 (all the way down to negative infinity) or greater than -10 (all the way up to positive infinity.)

Most of the time, AND problems describe a range of soultions that fall inbetween two numbers (less than 5, greater than 2). While OR problems describe solutions that fall above or below (greater than 5, less than 2)

Answer 2

AND : all constituent parts must be true for the whole to be true
OR : any constituent part must be true for the whole to be true

Answer 3

For example:
The number line below represents which combined inequality?
number line with a closed circle on -4, shading to the left and a closed circle on 3, shading to the right

x ≧ -4 and x ≤ 3

x ≧ -4 or x ≤ 3

x ≤ -4 and x ≧ 3

x ≤ -4 or x ≧ 3

Answer 4

I know the answer is either C or D.

Answer 5

Is it C because both of them are in the number line?

Answer 6

If you take any number that is on the number, say for example 8, does it fall under
x ≤ -4 and x ≧ 3

or:

x ≤ -4 or x ≧ 3

Answer 7

Well "8" lies on x ≧ 3. . . but what does that mean?

Answer 8

@zimmah

Answer 9

There is no number that is equal to 7 AND equal to 8. You'll need "OR" for that.
There is no number that is less than 3 AND greater than 4. You'll need "OR" for that.

Just make it make sense.

Answer 10

So the answer to that question would be D?

Answer 11

Please help @austinL

Answer 12

It's the last question on my test

Answer 13

The answer was D -_-