Question

Graph the solution of this equality: 4/9×-10> ×/3 - 12

Answer 1

ANSWER and EXPLANATION

We have the inequality:

`\begin{gathered} (4)/(9)x\text{ }-\text{ 10 > }(x)/(3)\text{ -12} \\ \text{Collect like terms:} \\ (4)/(9)x\text{ - }(x)/(3)\text{ > -12 + 10} \\ (1)/(9)x\text{ > -2} \\ \text{Multiply both sides 9:} \\ x\text{ > -2 }\cdot\text{ 9} \\ x\text{ > -18} \end{gathered}`

Now, to draw that on the number line, we use an unshaded circle and the arrow will point to the right hand side: