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?

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

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:

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

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions