Questions: Solve this inequality. -3 x>18 x<-6 x>-6 x<6

Transcript text: Solve this inequality. \[ -3 x>18 \] $x<-6$ $x>-6$ $x<6$

Solution

Solution Steps

To solve the inequality $-3x > 18$, we need to isolate $x$ by dividing both sides of the inequality by $-3$. Remember that dividing or multiplying both sides of an inequality by a negative number reverses the inequality sign.

Step 1: Solve the Inequality

We start with the inequality: \[ -3x > 18 \] To isolate $x$, we divide both sides by $-3$. Remember that dividing by a negative number reverses the inequality sign: \[ x < \frac{18}{-3} \]

Step 2: Simplify the Expression

Now, we simplify the right side: \[ x < -6 \]