Question

The sum of two positive integers, a and b is at least 30. The difference of the two integers is at least 10. fb is the greater

integer, which system of inequalities could represent the values of a and D?

Answer 1

Answer:

$a + b \geq 30$

$b - a \geq 10$

Step-by-step explanation:

Given

Two integers a and b

The first statement in the question says, their sum is at least 30

The keyword "at least" means their sum can not fall below 30 and this is represented mathematically as

$a + b \geq 30$

The next statement says their difference is at least 10 and b is greater;

The keyword "at least" means the same as used above (i.e. can not exceed); The second statement is represented as:

$b - a \geq 10$

Hence, the system of inequality that represents the statements are:

$a + b \geq 30$

$b - a \geq 10$