(5)
[tex]\begin{gathered} a+7>14 \\ \text{Subtract 7 from both sides of the inequality} \\ a+7-7>14-7 \\ a>7 \\ \text{Therefore, on the number line, you put a tiny circle on positive seven} \\ \text{The circle must be unshaded, because the value of a does not include 7} \\ \text{From the circle you now draw a line moving in the right direction} \\ \text{This means all the values of a are greater than seven} \end{gathered}[/tex](6)
[tex]\begin{gathered} 12r>180 \\ \text{Divide both sides by 12} \\ \frac{12r}{12}>\frac{180}{12} \\ r>15 \\ On\text{ the number line you draw a tiny circle on the number 15} \\ The\text{ circle must not be shaded to show that 15 is not included in the values of r } \\ \text{You now draw a line from the circle and move it in the right hand direction} \\ So\text{ all the values of r are greater than 15} \end{gathered}[/tex]
