1. Find the truth set of the inequality 2y + 5 < 4y - 5.

{y: y > 5} {y: y > 1} {y: y < 5} {y: y > 0}

2. Solve the inequality: (1/2)(3x - 1) + 1 <= 7 + 2x

x >= -14 x >= -13 x <= -14 x <= -13

3. Solve: 25x + 450 <= 3000

x <= 138 x >= 138 x >= 102 x <= 102

4. Solve the inequality: 2x + 10 >= (7/2)x - 5

x <= 40 x >= 10 x <= 10 x >= 40

5. Find the truth set of (1/4)(x + 3) <= 2x - 1.

{x: x <= -3} {x: x >= 3} {x: x <= -1} {x: x >= 1}

6. Solve the linear inequality: x - 1/3 >= 2/3 - x

x >= 1/2 x <= 1/2 x <= 2/3 x >= 2/3

7. If x is in the set {2, 3, 4, 5}, find the truth set of 2x + 1 < 8.

{2, 3, 4} {3, 4} {2, 3} {4, 5}

8. Solve the inequality: 7x - (10x + 3) >= -9

x <= 2 x >= 4 x >= 2 x <= 4

9. The marks of a student in three tests were 92, 85 and 65. The mean of all four tests is less than 80, where x is the mark in the fourth test. Which inequality shows this?

(92 + 85 + 65) / 4 + x < 80 (92 + 85 + 65 + x) / 4 < 80 92 + 85 + 65 + x < 80 (92 + 85 + 65 + x) / 4 > 80

10. The solution x <= 9 is shown on a number line by

a closed circle at 9 with an arrow pointing to the right an open circle at 9 with an arrow pointing to the right an open circle at 9 with an arrow pointing to the left a closed circle at 9 with an arrow pointing to the left