Solve 5x – 3 < 7, when

(i) x is an integer. (ii) x is a real number.

It is given in the question that,

5x – 3 < 7

Adding 3 both side we get,

5x – 3 + 3 < 7 + 3

5x < 10

Dividing both sides by 5 we get,

x < 2

When x is an integer

It can be clearly observed that the integer number less than 2 are…, -2, -1, 0, 1.

Thus, solution of5x – 3 < 7is …,-2, -1, 0, 1, when x is an integer.

∴ {…, -2, -1, 0, 1} is the solution set.

(i) When x is a real number.

It can be clearly observed that the solutions of 5x – 3 < 7 will be given by x < 2 which states that all the real numbers that are less than 2.

∴x (-∞, 2) is the solution set.