A number line shows a closed circle at and an open circle at
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Inequalities · Linear Inequalities
Problem
A number line shows a closed circle at −1 and an open circle at 5. The portion of the line between these two points is shaded, with no shading outside this interval.
(i) Write the compound inequality represented by this graph.
(ii) Solve the two inequalities 3x+2<17 and 2x−5≥−7 simultaneously. Combine the two results into a single compound inequality and show that it matches the inequality obtained in part (i).
(iii) Graph the final solution set on a number line, making sure the end-points and shading agree with parts (i) and (ii).
(iv) Express the same solution set in interval notation.