Question
Mathematics Question on Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
Solve the inequalities and represent the solution graphically on number line: 5x + 1 > – 24, 5x – 1 < 24.
Answer
5x + 1 > –24
⇒ 5x > –25
⇒ x > –5 …. (1)
5x – 1 < 24
⇒ 5x < 25
⇒ x < 5 …. (2)
From (1) and (2), it can be concluded that the solution set for the given system of inequalities is (–5, 5).
The solution of the given system of inequalities can be represented on number line as
