math
posted by diana .
a person with no more than $15,000 to invest plans to place the money in two investments. one investment is high risk, high yield: thfe other is low risk, low yield. at least $2,000 is to be plaaced in the highrisk investment. furthermore, thfe amount invested at low risk should be at least three times the amounted invested at high risk. find and graph a system of inequalities that describes all possibilities for plaacing the money in the highand low risks investments

Let H be the amount of investments for high risk products, and
L be the amount for lowrisk products.
"with no more than $15,000 to invest "
H+L≤15000
"at least $2,000 is to be plaaced in the highrisk investment"
H≥2000
"amount invested at low risk should be at least three times the amount invested at high risk"
L≥3H
Draw a graph with H in the xaxis, and L in the yaxis (or vice versa).
Represent the above inequalities on the graph.
Shade the impossible regions. The unshaded region in the resulting graph represents the possible investment options.