Write the interval notation corresponding to the set

Question

Assignment

1) Real Line:

a) Sort the following numbers in increasing order: 4, -7, 9, -2, 6, 0, -11, 3, 10, -1, -5

b) Graph the following notation: 2 ≤ x ≤ 5 in a Real Line.

2) 8 points. Absolute Value: d = |a - b|=|b - a |, determine the distance between:

a) |15| and |-5|

b) |-8| and |-4|

3) Simplify the following operation:

(3^-1 + 2^-1)

4) Expand the following operation by eliminating the parenthesis:

-¾(-8x + 12y)

5) Write the interval notation corresponding to the set notation:

{x | x ≤ 8}.

6) Simplify the following operation:

³√256 - ³√32

7) Solve the absolute value inequality. Show interval notation for the solution set.

|6x -4| ≤ 12

8) Simplify the expression:

(y² - 49) / (3y² - 15y - 42

9) Perform the indicated operations and simplify to get a polynomial:

(6x - 5)² - (8x + 1)(3x + 2)

10) Solve the following equation for x:

4(x + 12) - 8 = - 6(x + 12) + 62

11) Solve the following inequality for x. Express the solution using interval notation.

| 3x - 2 | ≥ 5

12) Simplify the following equation:

1/(x- 7)-8/(x^2- 6x - 7)