Solve and graph this inequality:
`-\frac{3}{2}x>18`
You will need to move your point below to earn full credit. 👇
Write your solved inequality here:
Should the point be open or closed?
Where is the shading?
To solve the inequality `- \frac{3}{2}x > 18`, we need to isolate the variable `x`.
To do this, we can start by multiplying both sides of the inequality by `-2/3`, remembering that when we multiply or divide by a negative number, the direction of the inequality sign flips:
`(-\frac{3}{2}x) \cdot (-\frac{2}{3}) < 18 \cdot (-\frac{2}{3})`
This simplifies to:
`x < -12`
The solved inequality is `x < -12`.
For the graph:
- The point should be open since the inequality symbol is not inclusive.
- The shading is to the left of the number line, indicating all the values less than -12.