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ReaLily
25.06.2019 •
Mathematics
Idon’t understand why is it “not possible”. -2/3x< 4 and 3/4x< -6 and also i don’t understand why is it “all real numbers”. 3x-9≤9 or 4-x≤3
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Ответ:
Let's solve the inequalities: we have
and
Since the two inequality must be true at the same time (there is an "and" between the two), we should find a number that is, at the same time, greater than -6, and smaller than -8. But since -6 is greater than -8, a number greater than -6 is automatically greater than -8 as well. So, it is impossible for a number to be greater than -6 and smaller than -8.
If negative numbers confuse you, this example shows the same (impossible) logic: we can't ask for a number to be greater than 10, but smaller than 3.
As for the second exercise:
So, a number satisfies this system if it is smaller than 6 or greater than 1. This means that at least one of the conditions must be satisfied, and this is always the case:
If we choose a number smaller than 1, the second condition is metIf we choose a number between 1 and 6, both are metIf we choose a number greater than 6, the first condition is metSo, whatever number we choose, at least one of the conditions will be true, and the logical "OR" will be satisfied.
Ответ:
D. 4
Step-by-step explanation:
∆VWZ ~ ∆VXY, therefore:
VW = 8
VX = 8 + WX
VZ = 18
VY = 27
Plug in the values
Cross multiply
Subtract 144 from each side
Divide both sides by 18
WX = 4