Determine the number of integers n that satisfy the inequality 2 < 4n + 6 < 30.
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thanks!
cheers!
thanks, this was a nice quick one to warm up with
wait, is the left side strict too? i did it as less than or equal at first and got a different count
ohh that's what tripped me up, thanks
I subtracted 6 from all parts first, then divided by 4. Pretty straightforward for 505-555
got five at first because I forgot to count the negative integers lol. the lower bound matters here
What it tests
Your ability to solve and combine linear inequalities and reason about ranges of values.
Common trap
Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.