Joseph promised to raise at least two hundred dollars for an orphanage. So he is
selling magazine subscriptions for twenty dollars each. Write and solve an inequality that can
be used to find the number of magazine subscriptions he needs to sell.
Let’s let 𝑥 equal the number of magazine subscriptions. So if they cost twenty
dollars each, we need to take twenty times 𝑥. Twenty dollars times a number of magazine subscriptions he sells will tell us the
amount that he raised, and the amount that he would like to raise is at least two hundred.
So he would like to sell at least two hundred, meaning exactly two hundred dollars
or more than two hundred dollars, which would be fantastic. So in order to solve this inequality,
we need to divide both sides by twenty.
On the left, the twenties cancel. And on the right, two hundred divided by twenty
is ten. This means that Joseph needs to sell at least ten magazine subscriptions for him to be
able to reach his goal of two hundred dollars.
Again the inequality to represent this situation would be twenty 𝑥 is greater
than or equal to two hundred, and solving this inequality would result in 𝑥 is greater than or
equal to ten.