Question

solve for x and graph the solution on the number line below.
-5 ≤ -5x
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Divide both sides by -5

When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-5}{-5}\geq\frac{-5x}{-5}$.

Step2: Simplify the expressions

We get $1\geq x$, which can also be written as $x\leq1$.

Answer:

Inequality Notation: $x\leq1$
Number Line: Mark a closed - circle at 1 (because the inequality includes equality, i.e., $x$ can be 1) and shade the line to the left of 1 to represent all values of $x$ that satisfy the inequality.