Question

Question 3 Solve 5x– 3 < 7, when

(i) x is an integer

(ii) x is a real number

Class X1 - Maths -Linear Inequalities Page 122

Answer 1

★ LINEAR INEQUALITIES ★
REDUCING LINEAR INEQUALITIES AT THEIR MAXIMUM EXTENT HERE , AND IN OTHER FEW CASES ; GENERALITY HAS BEEN USED UPTO PROPER EXTENDS
AS BEING CAREFUL WHILE CHOOSING INTEGRAL SOLUTIONS OF THE RESPECTIVE INEQUALITY

★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★

Answer 2

here,
5x - 3 < 7
add 3 both sides,
=> 5x -3 + 3 < 7 + 3
=> 5x < 10
divide by 5 both sides,
=> 5x/5 < 10/5
=> x < 2 ----------------(1)
hence, x is less then 2

(1) when x is integer .
it means x is one of 1, 2, 3 , .. ...0, ......-3, -2, -1.
e.g , x may be negative or positive.
from eqn (1)
x < 2
So, x will be possible = { 1 , 0, -1, -2 ,....}

(2) when x is real number .
we know, all rational and irrational numbers are real number .
hence, answer lying between -∞ to 2
e.g x€ ( -∞, 2)