What is the solution to 3/4 a>-16? O a>-21/3 O a<-21 O a> 21-1/ O a <21/13

Question 1

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

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

Question 2

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

Question 3

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

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

$\huge\textbf{Simplifying it:}$

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

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

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

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

$\huge\textbf{Simplify it:}$

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

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

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

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

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

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

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

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

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

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