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1 vote
What is the solution to 3/4 a>-16?

O a>-21/3
O a<-21
O a> 21-1/
O a <21/13

User Vasily
by
5.2k points

2 Answers

2 votes


(3a)/(4) > - 16 \\ 3a > - 64 \\ a > ( - 64)/(3) \\ a > 21 (1)/(3)

User Songololo
by
5.4k points
5 votes


\huge\text{Hey there!}


\huge\textbf{Equation:}


\mathsf{(3)/(4)a > -16}


\huge\textbf{Simplifying it:}


\mathsf{(3)/(4)a > -16}


\mathsf{(3)/(4)a > - (16)/(1)}


\huge\textbf{Divide \boxed{(4)/(3)} to both sides:}


\mathsf{(4)/(3)*(3)/(4)a > -16*(4)/(3)}


\huge\textbf{Simplify it:}


\mathsf{a > (4)/(3)* -16}


\mathsf{a > - (16)/(1) *(4)/(3)}


\mathsf{a > (-16*4)/(1*3)}


\mathsf{a > (-64)/(3)}


\mathsf{a > -(64)/(3)}


\mathsf{a > -21 (1)/(3)}


\huge\textbf{Therefore, your answer should be:}


\huge\boxed{- \frak{21(1)/(3)}}\huge\checkmark


\huge\text{Good luck on your assignment \&amp; enjoy your day!}

~
\frak{Amphitrite1040:)}

User Koosa
by
4.3k points