Q. 34.0( 46 Votes )
Solve 5x – 3 < 7, when
(i) x is an integer. (ii) x is a real number.
Answer :
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.
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