Solve and graph this inequality: − 3 2x>18 Write your solved inequality here: Should the point be open or closed? Where is the shading?
To solve the inequality, we need to isolate the variable x. We start by multiplying both sides of the inequality by -2/3 (multiplying by a negative number reverses the inequality sign):
- (2/3) * (-3/2) * x < (2/3) * 18
x > - 12
The solved inequality is x > -12.
Inequalities with a greater than sign (>) or a less than sign (<) typically have an open circle to represent that the endpoint is not included in the solution set.
Therefore, the point is open at x = -12, and the shading is to the right of -12 on the number line.