Question

solve for $x$ and graph the solution on the number line below.
$0<\frac{x}{-5}$
answer attempt 1 out of 3
inequality notation:
number line:

Explanation:

Step1: Multiply both sides by -5

When multiplying both sides of an inequality by a negative number, the inequality sign flips.
$$0\times(- 5)>\frac{x}{-5}\times(-5)$$

Step2: Simplify

Simplify the left - hand side \(0\times(-5) = 0\) and the right - hand side \(\frac{x}{-5}\times(-5)=x\)
$$0 > x$$

Answer:

Inequality Notation: \(x<0\)
On the number line, we draw an open circle at \(0\) (because \(x
eq0\)) and shade the part of the number line to the left of \(0\).