I am having trouble with this inequality.

Question

2. Katie is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants. She cannot spend more than $100. Write and graph a system of linear inequalities to model all possible solutions to the situation.  

x:# of bags of soil

  

y:# of bags of plants

Inequality 1:

Inequality 2:

4x + 10y ≤ $100

I can't figure out what the first one will be, any help will be greatly appreciated.

Answer 1

The first one is simply y≥5.

Then 10y≥50

100-10y≤50

4x≤100-10y≤50 => 4x≤12