Algebra L1-5 Quiz v2

Which number line shows the solutions to the inequality -3(2x-4)\leq 18 ? Check your answer!

Solve the inequality and select the best description of the solution set. Check your answer!

Graph the solution to the inequality on the number line. Check your answer!

A community of microorganisms is demonstrating a shift in overall composition as the abiotic factors of the immediate area change. The pH of the water in which the organisms live is rising because a nearby stream has started to erode a layer of newly exposed limestone. The shift happens slowly. Organism A, which started off with about 10^9 individuals is dying off faster than it reproduces, so that the population shrinks by about 1000=10^3 individuals for every month of time, m. Meanwhile, Organism B is growing from a population of about 10^4, adding a net growth of 100=10^2 individuals every month.

Write an inequality to determine for how many months the population of A will remain greater than that of B.

In the scenario above, there will be more of Organism A than Organism B as long as the number of months that has passed is less than what number?

That is, solve your equation from (5) for m<\textrm{answer} . As always, it's smart to check your answer.

Your answer may be approximate.