Question

Students in a ninth grade class measured their heights, h, in centimeters. The heightof the shortest student was 155 cm, and the height of the tallest student was 190 cm.(Write a compound inequality that would represent the heights of the ninth grade class)

Answer 1

Due to the shortest studen has a height of 155cm and the tallest one has a height of 190cm. You consider these numbers as the limits of the interval for the height of the students of the ninth grade.

if x is the height of the students, it is necessary that x is lower or equal than 190cm, moreover, it is necessary that x is equal or greater than 155cm.

The previous situation can be written as the following inequalities:

x < 190

x > 155

however, the previous inequalities can be written as one double inequality:

155 < x < 190