Repeating inequalities

[RedSanders]

Assignment calls for me to show examples of "repeating inequalities". Example teacher gave is -1≤1<2
I don't understand what a repeating inequality is, nor why the example is one. Please help.

 

[Deleted member 4993]

Assignment calls for me to show examples of "repeating inequalities". Example teacher gave is -1≤1<2
I don't understand what a repeating inequality is, nor why the example is one. Please help.

I for one do not understand the example. The statement:

-1≤1<2

is FALSE. (-1 is a discrete number - it cannot equal another unique discrete number)

 

[pka]

-1≤1<2
is FALSE. (-1 is a discrete number - it cannot equal another unique discrete number)

Sorry, but that is not false.
One is greater than minus one OR one is equal to minus one, \(\displaystyle -1\le 1\), is a true statement.

\(\displaystyle T \vee F \equiv F \vee T \equiv T \vee T \equiv T\)

 

[Deleted member 4993]

Sorry, but that is not false.
One is greater than minus one OR one is equal to minus one, \(\displaystyle -1\le 1\), is a true statement.

\(\displaystyle T \vee F \equiv F \vee T \equiv T \vee T \equiv T\)

Ooops ... I forgot there was an implied OR there....

 

[HallsofIvy]

Assignment calls for me to show examples of "repeating inequalities". Example teacher gave is -1≤1<2
I don't understand what a repeating inequality is, nor why the example is one. Please help.

Well that is a "repeating inequality" (I really have not seen that before) because it has two inequality signs- the inequality sign is repeated. What it means is two inequalities: \(\displaystyle -1\le 1\) and \(\displaystyle 1< 2\). Be careful about the direction of the inequalies. Both -1< 2 and 1> -1 are true but you cannot write 1> -1< 2 because that we want to be able to "pass through" the inequalities- and 1 is NOT greater than 2.