MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
Consider the inequality 5(2x−3)−7<3(4−x)+2x.
(i) Solve the inequality and write the solution set in the form {x∣x<α}, where α is a rational number.
(ii) Represent the solution on a number line, showing the appropriate open or closed circle.
(iii) Choose any integer value of x that lies in the solution set and substitute it into the original inequality to verify your answer.