Question

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

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

3/4 a > - 16

a = ?

Step 02:

`\begin{gathered} (3)/(4)\text{ a }\cdot\text{ 4 > - 16 }\cdot\text{ 4 } \\ 3\text{ a / 3 > }-64\text{ / 3 } \\ a\text{ > - }21.33\text{ } \end{gathered}`

The answer is:

a > -21.33

a > - 64 / 3

Answer 2

`\displaystyle{a > -(64)/(3)}`

Explanation:

Step 1: Multiply both sides by 4

`\displaystyle{(3)/(4)a > -16}\\\\\displaystyle{(3)/(4)a\cdot 4 > -16\cdot 4}\\\\\displaystyle{3a > -64}`

Step 2: Divide both sides by 3

`\displaystyle{(3a)/(3) > (-64)/(3)}\\\\\displaystyle{a > -(64)/(3)}`

Please let me know if you have any questions!