Answer:
[tex]a + b \geq 30[/tex]
[tex]b - a \geq 10[/tex]
Step-by-step explanation:
Given
The sum of the two positive integer a and b is at least 30, this means the sum of the two positive integer is 30 or greater than 30, so we write the inequalities as below.
[tex]a + b \geq 30[/tex]
The difference of the two integers is at least 10, if b is the greater integer then we subtract integer a from integer b, so we write the inequality as below.
[tex]b - a \geq 10[/tex]
Therefore, the following system of inequalities could represent the values of two positive integers a and b.
[tex]a + b \geq 30[/tex]
[tex]b - a \geq 10[/tex]
