Problema Solution
Find a possible set of integer values for a, b and c such that the solution to the inequalities ax+3 > 2x+b and cx-1 > 5x-4 is (a) x < -2 and (b) -3 < x < 4
Answer provided by our tutors
(a) ax+3 > 2x+b => (a-2)x>b-3
cx-1 > 5x-4 => (c-5)x>-3
When a = 0, b = 7, c = 2,
The inequalities are -2x>4, -3x>-3, the solution is x 2x+b => (a-2)x>b-3
cx-1 > 5x-4 => (c-5)x>-3
When a = 1, b= -1, c = 6,
The inequalities are -x>-4, x>-3, the solution is -3So the possible set is a = 1, b= -1, c = 6.