To solve the inequality, we need to isolate x.
Step 1: Multiply both sides of the inequality by -2/3 to get rid of the fraction and flip the inequality sign.
(-2/3)(-3/2)x < (18)(-2/3)
x < -36
The solution to the inequality is x < -36.
To graph the solution, we draw an open circle at -36 on the number line (indicating that -36 is not included in the solution) and shade the line to the left of -36 to represent all the values of x that are less than -36.
Solve and graph this inequality: − 3/2x >18
3 answers
Can you show me where the point is supposed to be in the number line
Certainly! Here is how the number line would look like:
<----------------|-----------------o
x < -36
The open circle at -36 indicates that -36 is not included in the solution set. The shaded region to the left of -36 represents all the values of x that are less than -36.
<----------------|-----------------o
x < -36
The open circle at -36 indicates that -36 is not included in the solution set. The shaded region to the left of -36 represents all the values of x that are less than -36.