Question

ve the inequality and graph your solution. \\(\frac{x}{-3} \geq 6\\)

Explanation:

Step1: Multiply both sides by -3

When multiplying or dividing an inequality by a negative number, the inequality sign flips. So, multiply both sides of $\frac{x}{-3} \geq 6$ by -3: $x \leq 6\times(-3)$

Step2: Calculate the right side

$6\times(-3)= -18$, so we get $x \leq -18$

To graph the solution: Draw a number line. Put a closed circle at -18 (because the inequality is "less than or equal to") and shade the line to the left of -18 (since x is less than or equal to -18).

Answer:

The solution to the inequality $\frac{x}{-3} \geq 6$ is $x \leq -18$. The graph has a closed circle at -18 and shading to the left.