Unit 7 Lesson 4: Exercise 2

1)  Find the solutions subject to the given condition.

(a)  3x + 1 < 20 : x is a positive integer.

1)  Find the solutions subject to the given condition.

(b)  x – 1 ≥ 6 : x is a prime number less than 20

1)  Find the solutions subject to the given condition.

(c)  1 < x < 50 : x is a square number

1)  Find the solutions subject to the given condition.

(d)  0 < 3x < 40 : x is divisible by 5

1)  Find the solutions subject to the given condition.

(e)  0 ≤ 2x – 3 ≤ x + 8 : x is a prime number

2)  State the smallest integer x for which 4x > 19

3)  Find an integer value of x such that 2x – 7 < 8 < 3x – 11

4)  Find an integer value of x such that 3x – 4 < 12 < 4x – 5

5)  Find a simple fraction x such that ⁴/₉ < x < ⁵/₉

6)  Find an integer value of x such that x – 3 ≤ 11 ≤ 2x + 10

7)  State the largest prime number z for which 3z < 66

8)  Find the largest prime number x such that x² < 400

9)  Find a simple fraction x such that ¹/₃ < x < ²/₃

10)  Write your answers below and in your books at home, illustrate on a number line the solution set of each pair of simultaneous inequalities:

(a)  x < 6;  -3 ≤ x ≤ 8

10)  Write your answers below and in your books at home, illustrate on a number line the solution set of each pair of simultaneous inequalities:

(b)  x > -2;  -4 < x < 2

10)  Write your answers below and in your books at home, illustrate on a number line the solution set of each pair of simultaneous inequalities:

(c)  2x + 1 ≤ 5;  -12 ≤ 3x – 3

10)  Write your answers below and in your books at home, illustrate on a number line the solution set of each pair of simultaneous inequalities:

(d)  3x – 2 < 19;   2x ≥ -6