Question

Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two inequalities to describe Andre's height in centimeters. If you get stuck, consider drawing a number line to help you.

Answer 1

Andre's height: y < x < 164

Explanation:

We will first of all convert each of the statements to mathematical inequalities, before we combine them.

Let Andre's height be = x

Lin's height be = y

The maths teacher's height = 164

Andre is a little taller than Lin:

x > y

Andre is shorter than their maths teacher, who is 164 centimetres

x<164

Combining the two inequalities, we have Andre's height as

y < x < 164

This means that Lin is shorter than Andre who is in turn shorter than the Maths Teacher.