Nats wrote:The number of small houses is represented by S. The number of large houses are represented by L....
Each small house requires 300m^2 of land and each large house requires 500m^2 of land .
I think the answers are: L is greater than or equal to 3000m^2 (first condition, since there must be at least 6 large houses) and 6L + S less than or equal to 9000m^2 (second condition) Is this correct?
I'm sorry, but I do not follow your reasoning. It appears that you have attempted to include at least three different conditions in one equation or inequality. It would likely be more helpful to work in an orderly fashion, clearly stating one's reasoning and processing the information step-by-step.
a) For what does each variable stand?
b) What minimums then must (logically) apply to the variables?
c) What inequality is required by what the "authorities insist" be true?
d) As a result of the other requirement upon which the "authorities insist", how may the original minimum for "L" be revised?
The statements in (c) and (d) are the first two answers.
e) Each "large" requires "500" units of space. What expression then represents the number of units of space required by "L" "larges"?
f) Each "small" requires "300" units of space. What expression then represents the number of units of space required by "S" "smalls"?
g) What statement then represents the total number of units of space required by all the houses?
h) What inequality results from the restriction on the total space available?
i) What inequality results from dividing the inequality in (h) by 100?