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Question
Solve 5x – 3 < 7, when x is a real number.
Solution
The given inequality is 5x– 3 < 7.
5x - 3 < 7
⇒ 5x - 3 + 3 < 7 + 3
⇒ 5x < 10
⇒ `(5x)/5 < 10/5`
⇒ x < 2
When x is a real number, the solutions of the given inequality are given by x < 2, that is all real numbers x which are less than 2.
Thus, the solution set of the given inequality is x ∈ (–∞, 2).
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