Question

Write two inequalities to represent the real world situation.Robert’s poems have a minimum of 3 lines and a maximum of 16 lines. How many lines might one of Robert’s poems have?

Answer 1

Explanation:

Let the number of lines in Robert's poem = x

We are told that: Robert’s poems have a minimum of 3 lines.

This means that the number of lines can either be:

• exactly 3.

,

• or greater than 3.

An inequality to represent this is:

`x\ge3`

Similarly, the second statement: Robert’s poems have a maximum of 16 lines.

This means that the number of lines can either be:

• exactly 16.

,

• or less than 16.

An inequality to represent this is:

`x\le16`

The two inequalities are:

`\begin{gathered} x\ge3 \\ x\le16 \end{gathered}`

Next, to determine how many lines might one of Robert’s poems have, combine the two inequalities.

`\begin{gathered} x\ge3\implies3\le x \\ \text{Number of Lines: }3\le x\le16 \end{gathered}`

Robert's pow