Question

solve for $x$ and graph the solution on the number line below.

$-1 \leq \frac{x}{-3}$

answer attempt 1 out of 2

inequality notation:

number line:

Explanation:

Step1: Multiply both sides by -3

When multiplying or dividing an inequality by a negative number, the inequality sign flips. So, \(-1\times(-3)\geq\frac{x}{-3}\times(-3)\)

Step2: Simplify

\(3\geq x\) or \(x\leq3\)

Answer:

Inequality Notation: \(x\leq3\)

For the number line: Draw a number line. Place a closed circle at \(3\) (because the inequality is \(\leq\), so \(3\) is included in the solution set) and shade to the left of \(3\) to represent all numbers less than or equal to \(3\).