Loading....
Coupon Accepted Successfully!

 
Like Inequalities Can Be Added
 
If x < y and w < z, then x + w < y + z
 

 

Example:
If 2 < x < 5 and 3 < y < 5, which of the following best describes x – y?

 

(A) –3 < x – y < 2

(B) –3 < x – y < 5

(C) 0 < x – y < 2

(D) 3 < x – y < 5

(E) 2 < x – y < 5
 

Multiplying both sides of 3 < y < 5 by –1 yields –3 > – y > –5. Now, we usually write the smaller number on the left side of the inequality. So –3 > – y > –5 becomes –5 < – y < –3. Add this inequality to the like inequality 2 < x < 5 :
 


 

The answer is (A).





Test Your Skills Now!
Take a Quiz now
Reviewer Name