Solving logical expressions with if statement

I am solving some conditions having logical expressions with 'if'statement, but these conditions are little complex, so using if statement every time will make it more complicated to understand. So can someone please suggest me another way to solve it?

 a = rand(10,2);
b = [1 4 7 10];

Condition:

if any number from first column of 'a' is less than or equal to the first column of 'b' and less than second column of 'b', and if any number from second column of 'a' is greater than or equal to the first column of 'b' and less than second column of 'b', then import these numbers from matrix 'a' and store them in a new matrix (lets say 'result').

a(:,1) >= b(1,1) and < b(1,2) and if a(:,2) >= b(1,1) and < b(1,2)

I have 8 more conditions like this.

Answer 1

[Jan]

Then the 3rd and 4th column of b are not used?

a = rand(10,2);
b = [1 4 7 10];

Index  = (a(:,1) >= b(1,1) & a(:,1) < b(1,2) & ...
          a(:,2) >= b(1,1) & a(:,2) < b(1,2));
Result = a(Index, :);

Or:

Index  = all(a(:,1:2) >= b(1,1) & a(:,1:2) < b(1,2), 2);

[Asim Ismail]

Thanks @Jan for helping me out

[Asim Ismail]

ofcourse the 3rd and 4th column of b will be used. This one was for 1st and 2nd column, later it will be for 2nd and 3rd column, and so on...

Can it be a general formula?

[Stephen23]

@asim ismail: use indexing.