Question

Solve and graph this inequality: − 3 2​x>18

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality, we can start by multiplying both sides of the inequality by -2 to eliminate the fraction. However, we must reverse the inequality symbol because we are multiplying by a negative number.

(-2)(-3/2)x < (-2)(18)
3x < -36

Next, we divide both sides by 3 to solve for x:

x < -12

To graph this inequality, we draw a number line and mark -12 with an open circle (since x is less than, not equal to, -12). Then, we shade to the left of -12 to represent all possible values of x that satisfy the inequality.