Question

Solve the following inequality, show all necessary work. 4x²-24x+31<=8x-33

Answer 1

x = 4

Explanation:

4x^2 - 24x + 31 <= 8x - 33

4x^2 - 24x - 8x + 31 + 33 = 0

4x^2 - 32x + 64 <= 0

4 ( x^2 - 8x + 16 = 0

x^2 - 8x + 16 = 0/4

x^2 - 8x + 4^2 = 0 ( factorization)

x - 4 = 0

x = 4