The question cannot be answered because is does not specify great than what or less than what. Greater then -5 and less then -5 make no sense.
-5
The odd integers greater than 5 and less than 15 are 7, 9, 11, and 13, a total of four of them.
First of all, there's no such thing as an "interger". You're talking about "integers". The integers less than zero and greater than -7 are: -6 -5 -4 -3 -2 and -1
There are no negative integers greater than five.
That can be expressed as -4 < [|x|] < 3. Those integers are -3, -2, -1, 0, 1, and 2.
-5
The integers that are greater than -2 but less than 5 are: -1, 0, 1, 2, 3, 4
The odd integers greater than 5 and less than 15 are 7, 9, 11, and 13, a total of four of them.
-4, -3, -2, -1, 0, 1, 2, 3, 4
The odd integers less than 5 are 1 and 3. Therefore, there are 2 odd integers that meet this criterion.
First of all, there's no such thing as an "interger". You're talking about "integers". The integers less than zero and greater than -7 are: -6 -5 -4 -3 -2 and -1
-4,-3,-2,-1,0,1,2,3
There are no negative integers greater than five.
To find how many positive integers less than 100 are divisible by 3, 5, and 7, we first calculate their least common multiple (LCM). The LCM of 3, 5, and 7 is 105. Since 105 is greater than 100, there are no positive integers less than 100 that are divisible by all three numbers. Therefore, the answer is 0.
That can be expressed as -4 < [|x|] < 3. Those integers are -3, -2, -1, 0, 1, and 2.
A counterexample to the statement "the difference of two integers is less than either integer" can be demonstrated with the integers 5 and 3. The difference is (5 - 3 = 2). Here, 2 is not less than either integer, as it is less than 5 but greater than 3. Thus, this example shows that the difference can be less than one integer but not the other.
{ 3, 4, 5, 6, 7, 8 }