Question

The base of a parallelogram measures 14 cm, and the height is unknown. The area of the parallelogram is more than 42 square cm. Which graph represents all possible values for the height of the parallelogram?

A number line going from negative 1 to positive 7. An open circle is at 3. Everything to the right of the circle is shaded.
A number line going from negative 1 to positive 7. An open circle is at 3. Everything to the left of the circle is shaded.
A number line going from 24 to 32. An open circle is at 28. Everything to the right of the circle is shaded.
A number line going from 24 to 32. An open circle is at 28. Everything to the left of the circle is shaded.

Answer 1

a).

Explanation:

Answer 2

A number line going from negative 1 to positive 7. An open circle is at 3. Everything to the right of the circle is shaded.

Explanation:

The area of a parallelogram is given by the formula ...

A = bh

So, we have the condition that ...

A > 42

bh > 42 . . . . . substitute the expression for area

14h > 42 . . . . fill in the given base

h > 3 . . . . . . . divide by 14

Numbers greater than 3 are to the right of 3 on the number line.

_____

The relation is > rather than ≥, so the "or equal to" case is not included. That is why the circle is open, rather than solid.