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Two-step inequality word problems
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The swimming pool is open when the high temperature is higher than 20°C. Lainey tried to swim on Monday
and Thursday (which was 3 days later). The pool was open on Monday, but it was closed on Thursday. The high
temperature was 30°C on Monday, but decreased at a constant rate in the next 3 days.
Write an inequality to determine the rate of temperature decrease in degrees Celsius per day, d, from Monday
to Thursday.
What is the solution set of the inequality?

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.