Will give brainliest and extra points ):

x^2 -3x+11=0

using the determinant

b^2-4ac

(-3)^2 -4(1)*11

9 -44

-36<0  it has no real solutions

C or D. Hope this helps.

Step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5