Absolute value and inequalities on the number lineIB MYP Maths Standard: Mind map

Exam questions on Absolute value and inequalities on the number line

1. Two points on a number line are at $x=-7$ and $x=3$.
   A third point is exactly $5$ units from the point $x=-7$. Find the two possible positions of the third point.2 marks
2. A laboratory freezer must keep its temperature $T$ (in $^\circ$C) within the range $-25\le T<-18$.
   List all the whole-number temperatures that are allowed.2 marks
3. The water temperature $t$ (in $^\circ$C) in a school swimming pool is acceptable if $|t-27|\le 2$.
   Write the acceptable temperatures (i) as a double inequality and (ii) in interval notation.3 marks