1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lorico [155]
3 years ago
6

Is the sum of two integers always greater than the difference between them? Why or why not? Give examples to support your answer

.
Mathematics
1 answer:
crimeas [40]3 years ago
3 0
Let x and y be the two integers. 

The sum of the integers is x+y while the difference is x-y assuming x is larger than y. 

If x+y > x-y, then 

x+y > x-y
x+y-x > x-y-x
y > -y
y+y > -y+y
2y > 0
2y/2 > 0/2
y > 0

So as long as y is positive, this makes the sum greater than the difference
For example, if x = 10 and y = 2, then
x+y = 10+2 = 12
x-y = 10-2 = 8
clearly 12 > 8 is true

If y is some negative number (say y = -4), then
x+y = 10+(-4) = 10-4 = 6
x-y = 10-(-4) = 10+4 = 16
and things flip around

Saying a blanket statement "the sum of two integers is always greater than their difference" is false overall. If you require y to be positive, then it works but as that last example shows, it doesn't always work. 

So to summarize things up, I'd say the answer is "no, the statement isn't true overall"
You might be interested in
A patient weighs 93 pounds (lb). Meperidine hydrochloride is ordered for pain at a dosage of 6 milligrams (mg) per kilogram of b
Ymorist [56]

Convert the dose into mg / lb

1 lb = .45 Kg

so the does = 6 * .45 = 2.7 mg/lb

so the daily dose of the patient is 93 * 2.7 = 251.1 mg

injections are available in 50mg per mL

to calculate the daily dose in mL 251.1 / 50 = 5 mL

7 0
2 years ago
Can you guys help me​
natita [175]

Answer:

would be A

Step-by-step explanation:

because bisecting means both sides equal the same. so 4x-12 times two is 8x-24. Hope this helps

4 0
3 years ago
Read 2 more answers
Need to know the answer to the problem
Delicious77 [7]
The answer would be 2/5
4 0
3 years ago
What is the inverse function of 15x + 14
Hitman42 [59]
The inverse fraction of 15x+14 is f^-1 (x)= x/15-14/15
3 0
3 years ago
........\........................
Vikki [24]
Part a: 6:3 > 2:1
part b: 9:3> 3:1
4 0
2 years ago
Other questions:
  • What time does the sun set mostly
    7·2 answers
  • -y+5x-12=0 what is solution to get the answer of that?
    15·1 answer
  • |-5x| +4=-11 whats the answer?
    7·2 answers
  • A group of 200 workers 15 are chosen to participate in a survey about the number of Miles they drive to work each week.. In this
    11·1 answer
  • True or false ?<br>1.5 &gt; 15%​
    7·1 answer
  • a total eclipse in 2003 lasted 2 17/24,minutes in 2005 it lasted 3/8 of a minute how much longer did it last in 2003
    12·2 answers
  • Anyone wanna help me with this??
    9·1 answer
  • Lower bound of 58.4 and upper bound of 58.4
    11·1 answer
  • The measure of A∠ is greater than twice the measure of B∠ . If the angles’ sum is 42 degrees, find the measure of A∠ .
    12·1 answer
  • WILL. GIVE BRAINLIEST IF RIGHT!!​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!