The bottom of Ignacio's desktop is 74.5 cm from the floor. Ignacio sits in his adjustable chair, and the tops of his legs are 49.3 cm from the floor. Each clockwise rotation of the knob on the chair raises Ignacio's legs by 4.8 cm.
Write an inequality to determine the number of clockwise rotations, r, Ignacio could make with the knob without his legs touching the desk.
Let's call the final height of Ignacio's legs after r clockwise rotations of the knob from the starting position as X.
Since each rotation raises Ignacio's legs by 4.8 cm, the total height after r rotations can be represented as:
X = 49.3 + 4.8r
In order for Ignacio's legs not to touch the desk, the final height X should be less than the height of the bottom of the desk, which is 74.5 cm.
Therefore, the inequality representing the number of clockwise rotations Ignacio could make without his legs touching the desk is:
49.3 + 4.8r < 74.5