Answer the following questions about graphical representation of inequalities.
a. (i) State the rule that decides whether an end-point is shown as an open or a closed circle when an inequality is graphed on a number line.
b. (ii) Without solving, indicate whether the boundary point corresponding to each inequality will be open or closed.
a) 7−2x≤3
b) 4x−9>0
c) 5x+1≥−2
c. (iii) Choose any one inequality from part (ii) and justify your answer in 2–3 sentences.