Question

Katherine wants to save $120 for a brand new pair of shoes. Write

and solve an inequality to show the least amount she must save each
month for 6 months to do so.

Answer 1

Answer: 6x≥120

x≥20

Explanation:

To make an inequality, we have to look at the whole problem. Katherine wants to save $120, so 120 will be on one side of our equation.

We also know that she will be saving for six months.

So, our equation so far is 6x=120, with x being the amount she has to save each month.

But the problem says "the least amount." That means that we will be using the "greater than or equal to" symbol ⇒ "≥"

6x ≥ 120 will be our equation.

To solve this, we would need to isolate x. To do that, we'll divide both sides by 6 to get x≥20.

Hope this helps and all the best on your homework!