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
A
12 < x ≤ 12.2
B
12 > x ≤ 12.2
C
x > 12 or x ≤ 12.2
D
x < 12 or x ≤ 12.2
Explanation
“Longer than 12 cm” means x > 12, while “not longer than 12.2 cm” means x ≤ 12.2. Together, these conditions are written 12 < x ≤ 12.2, which is choice A.
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