Answer:
The system of linear inequalities to model the situation is written as:
x + y ≥ 5..... Equation 1
4x + 10y ≤ 100..... Equation 2
Step-by-step explanation:
Let
The number is soil = x
The number of plants = y
You are buying plants and soil for your garden.
You want to buy at least 5 plants
At least = greater than or equal to with the inequality sign(≥)
Hence:
x + y ≥ 5..... Equation 1
The soil cost $4 per bag and the plants cost $10 each and can spend no more than $100.
No more than means Less than or equal to with the inequality sign( ≤ )
Hence:
$4 × x +$10 × y ≤ $100
= 4x + 10y ≤ 100..... Equation 2
Therefore, the system of linear inequalities to model the situation is written as:
x + y ≥ 5..... Equation 1
4x + 10y ≤ 100..... Equation 2
