Given that 0 < x < 8 and y < 10, what is the minimum possible value for the product xy?
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thankss
Can you explain more?
wait, is y negative? it doesn't say that so i just assumed y could be like -100. then xy is like -800. so E.
yeah, but x is positive and small, so xy is negative huge. E is right.
this one got me. i was thinking min xy is when x=0 so 0, but x>0 so not 0. then y<10 can be like -infinity, so xy -> -infinity. so less than -80. tricky.
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.