Mathematics
State for each of the following statements whether it is true or false : (a) If (x - a)(x - b) 0, then x a and x b. (b) If a 0 and b 0, then (a + b)<sup>2</sup> 0. (c) If a and b are any two integers such that a b, then a<sup>2</sup> b<sup>2</sup>. (d) If p = q + 2, then p q. (e) If a and b are two negative integers such that a b, then
Related Questions
The given diagram represents two sets A and B on real number lines.
(i) Write down A and B in set-builder form.
(ii) Represent A ∪ B, A ∩ B, A' ∩ B, A - B and B - A on separate number lines.
Given 20 - 5x < 5(x + 8), find the smallest value of x when :
(i) x ∈ I
(ii) x ∈ W
(iii) x ∈ N
If x ∈ Z, solve : 2 + 4x < 2x - 5 ≤ 3x. Also, represent its solution on the real number line.
