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.
Solve and graph this inequality: − 3 2x>18 Write your solved inequality here: Should the point be open or closed? Where is the shading?
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