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1) Find the solutions subject to the given condition.
(a) 3x + 1 < 20 : x is a positive integer.
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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
≤ x ≤
7) State the largest prime number z for which 3z < 66
8) Find the largest prime number x such that x^{2} < 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
≤ x <
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
< x <
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
≤ x ≤
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
≤ x <