Question

olve for ( x ) and graph the solution on the number line below.

( 0<\frac{x}{-5} )

answer attempt 1 out of 2

inequality notation:

number line:

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Explanation:

Step1: Multiply both sides by -5

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

Step2: Simplify

\(0 > x\), which can be written as \(x<0\).

Answer:

Inequality Notation: \(x < 0\)

For the number - line: Place an open circle at \(0\) (since \(x\) is not equal to \(0\)) and shade the part of the number - line to the left of \(0\).