What's the intervoluntation and inequality notation
1 answer:
As an inequality, you'd say , because there's a closed circle (meaning we'll have "or equal to") and the shading goes to the right (meaning we also want numbers greater than -11).
In interval notation, you first describe where the interval starts on the left and ends on the right. This starts at -11 and goes on forever, so we'll say it goes to infinity. Then you have to indicate if each end is included.
- The -11 has a solid dot, so -11 is included (again, that's we had "or equal to" before), so we'll put a square bracket on that.
- Infinity is not a number. It's an idea. Since it's not a number, it cannot be included, so it'll get a curved parenthesis.
The interval notation answer is:
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Answer: On the 29th day
Step-by-step explanation:
According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.
On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.
The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are lilypads on the 30th, and
lilypads on the 29th. This can be deduced multiplying succesively by 2.