Given the equations (i) a² + 11a + 30 = 0 and (ii) b² + 6b + 5 = 0, determine the relationship between the values of a and b.

Show Answers

a is less than ba is less than or equal to bIt is impossible to determine the relationship between a and ba is greater than b

Explanation

Solving equation (i): (a + 6)(a + 5) = 0, so a = -6 or -5. Solving equation (ii): (b + 5)(b + 1) = 0, so b = -5 or -1. Comparing the possible values, a is always less than or equal to b.