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Mkey [24]
3 years ago
12

Negative four times a number plus nine is no more than the number minus twenty one

Mathematics
2 answers:
marysya [2.9K]3 years ago
8 0
N is no more than six
Allushta [10]3 years ago
3 0
4x+9 =< x-21 
<span>-4x-x +9 =< x-x-21 </span>
<span>-5x +9 =< -21 </span>
<span>-5x +9-9 =< -21-9 </span>
<span>-5x =< -30 </span>
<span>-5x/-5 =< -30/-5 (DANGER divide by neg affects direction of inequality) </span>
<span>x =< 6 </span>
<span>CHECK sign </span>
<span>-4x+9 =< x-21 </span>
<span>-4*6+9 =< 6-21 </span>
<span>-24+9 =<-15 </span>
<span>-15 =<-15 </span>

<span>-4*7+9 =< 7-21 </span>
<span>-28+9 =< 7-21 </span>
<span>-19 =< -14 false </span>

<span>-4*5+9 =< 5-21 </span>
<span>-20+9 =< -16 </span>
<span>-11 =< -16 true </span>

<span>so </span>
<span>x =< 6 is correct. </span>












<span>I use =< since eq would NO MORE THAN.</span>
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