Question

Solve 5x - 3 < 7 when

(i) x is an integer

(ii) x is a real number

Answer 1

Here 5x - 3 < 7

$\Rightarrow 5x<7+3\Rightarrow 5x<10$

Dividing both sides by 5, we have

x < 2

(i) When x is an integer then values of x that make the statement true are ..., -3, -2, -1, 0, 1 The solution set of inequality is {..., -3, -2,-1, 0, 1}.

(ii) When x is a real number. The solution set of inequality is $x\in (-\infty .,2).$