Question

21. Solve the inequality, 3x - 5 < x + 7, when
(i) x is a natural number (ii) x is a whole number (iii) x is an
integer (iv) x is a real number​

Answer 1

We have 3x – 5 < x + 7⇒ 3x < x + 12 Adding 5 to both sides⇒ 2x < 12 Subtracting x from both sides⇒ x < 6 Dividing by 2 on both sidesi Solution set is {1 2 3 4 5}ii Solution set is {0 1 2 3 4 5}iii Solution set is {....– 3 – 2 –1 0 1 2 3 4 5}iv Solution set is {x : x ∈ R and x < 6} i.e. any real number less than 6.