Question

solve for x and graph the solution on the number line below.
\\(\frac{x}{-2}\geq - 3\\)
answer
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Multiply both sides by -2

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{x}{-2}\geq - 3$ becomes $x\leq(-3)\times(-2)$.

Step2: Calculate the right - hand side

$(-3)\times(-2)=6$, so $x\leq6$.

Answer:

$\leq$; $x\leq6$
On the number line, you would place a closed circle at 6 (because the inequality includes equality, i.e., $x$ can be 6) and draw a line to the left of 6 to represent all the values of $x$ that satisfy the inequality.