Question

To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?.

Answer 1

12<x≤12.2

Explanation:

To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm.

The length of frame is x cm.

Length of frame must be longer than 12 cm.

Inequality, x>12

Length of frame not longer than 12.2 cm

In equality, x≤12.2

Now we make compound inequality of question

"Length of frame, x must be longer than 12 cm and not longer than 12.2 cm"

Inequality: 12<x≤12.2

Length of glass fit in the frame, 12<x≤12.2

Hence, The inequality 12<x≤12.2

Answer 2

Inequality that represents the lengths of the glass:
12 cm < x ≤ 12.2 cm