MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
Twice a number decreased by 3 lies between −5 and 7, including −5 but excluding 7. Answer the following.
(i) Translate the above statement into a single compound inequality in the variable x.
(ii) Solve the inequality obtained in part (i) and express the answer in both set-builder and interval notation.
(iii) List all integer solutions of the inequality.