Question

Which graph correctly represents1/3y - 1/2x > 2A-E in photo

Answer 1

A.

Step-by-step explanation:

We were given that:

`(1)/(3)y-(1)/(2)x>2`

We will simplify and rewrite the equation in the standard form as shown below:

`\begin{gathered} (1)/(3)y-(1)/(2)x\gt2 \\ \text{Add ''}(1)/(2)x\text{'' to both sides, we have:} \\ (1)/(3)y>(1)/(2)x+2 \\ \text{Multiply through each term by ''3'', we have:} \\ y>3((1)/(2)x)+3(2) \\ y>(3)/(2)x+6 \end{gathered}`

The graph is plotted below as shown:

We will observe that the correct graph is option A