Question

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

Answer 1

$\frac{3a}{4} > - 16 \\ 3a > - 64 \\ a > \frac{ - 64}{3} \\ a > 21 \frac{1}{3}$

Answer 2

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

$\mathsf{\dfrac{3}{4}a > -16}$

$\huge\textbf{Simplifying it:}$

$\mathsf{\dfrac{3}{4}a > -16}$

$\mathsf{\dfrac{3}{4}a > - \dfrac{16}{1}}$

$\huge\textbf{Divide \boxed{\dfrac{4}{3}} to both sides:}$

$\mathsf{\dfrac{4}{3}\times\dfrac{3}{4}a > -16\times\dfrac{4}{3}}$

$\huge\textbf{Simplify it:}$

$\mathsf{a > \dfrac{4}{3}\times -16}$

$\mathsf{a > - \dfrac{16}{1} \times\dfrac{4}{3}}$

$\mathsf{a > \dfrac{-16\times4}{1\times3}}$

$\mathsf{a > \dfrac{-64}{3}}$

$\mathsf{a > -\dfrac{64}{3}}$

$\mathsf{a > -21 \dfrac{1}{3}}$

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

$\huge\boxed{- \frak{21\dfrac{1}{3}}}\huge\checkmark$

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

~$\frak{Amphitrite1040:)}$