Question

Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly. Write a compound inequality to show the voltage amount that is within the necessary range.

Answer 1

The compound inequality that shows the voltage amount the necessary range is
`3.5<V<7.2`

Explanation:

Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly.

That means, the voltage amount should be either greater than 3.5 volts or less than 7.2 volts.

Suppose, the amount of voltage is
`V` volts to make the experiment work correctly.

Now, Voltage amount is greater than 3.5 volts means:
`V>3.5` or
`3.5<V`

and voltage amount is less than 7.2 volts means:
`V<7.2`

Thus, the compound inequality by combining the above two inequalities will be:
`3.5<V<7.2`