1. Write each inequality in interval notation. a. -1 < x < 4
b. x ≥ 25
c. -4 > x
d. -4 < x < -1 or 0 < x
e. The set of all Real numbers between 5 and 100, inclusive
f. The set of all Real numbers less than N.
g. The set of Real numbers that are at least 3.
h. The set of Real numbers that are at most -2.
i. The set of Real numbers that are more than 0.
j. The set of Real numbers that are less than e.

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?