Question 127769
If the minimum speed is 20 mph, then you must go 20 mph or faster. So mathematically, this looks like {{{x>=20}}}. Also, if the maximum speed is 50 mph, then the upper limit is 50. So mathematically, this looks like {{{x<=50}}}. 



So we have these two inequalities


{{{x>=20}}} and {{{x<=50}}}


Rearrange {{{x>=20}}} to get {{{20<=x}}}



Now we can combine {{{20<=x}}} and {{{x<=50}}} to get {{{20<=x<=50}}}



So our answer is C





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# 2


The statement "that are less than 4" translates to {{{y<4}}} and the statement "greater than 9" translates to {{{y>9}}}



So together we have



{{{y<4}}} or {{{y>9}}}



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# 3




{{{a+8-2(a-12)>0}}} Start with the given inequality




{{{a+8-2a+24>0}}} Distribute



{{{-a+32>0}}} Combine like terms on the left side



{{{-a>0-32}}}Subtract 32 from both sides



{{{-a>-32}}} Combine like terms on the right side



{{{a<(-32)/(-1)}}} Divide both sides by -1 to isolate a  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{a<32}}} Divide


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Answer:

So our answer is {{{a<32}}}