Question

Determine the solution for x^2 + 36 > 12x

a) x
b) -6 < x < 6
c) {x* = R}
d) {x} x € R and x = 6
e) Ø (Empty set)

Answer 1

The solution to the inequality x^2 + 36 > 12x is x ≠ 6.

Step-by-step explanation:

The given inequality is:

x^2 + 36 > 12x

Using the quadratic formula, we can solve this inequality:

x^2 - 12x + 36 > 0

Factoring the left side of the inequality gives us:

(x-6)(x-6) > 0

Simplifying further, we have:

(x-6)^2 > 0

This inequality holds true for any value of x, except when x = 6. Therefore, the solution is:

x ≠ 6