Question

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

( \frac { x } { - 2 } < 0 )

answer attempt 1 out of 3

inequality notation:

number line:

Explanation:

Step1: Multiply both sides by -2

When multiplying both sides of an inequality by a negative number, the direction of the inequality sign changes. So, \(\frac{x}{-2}<0\) becomes \(x > 0\) after multiplying both sides by \(-2\).

Answer:

Inequality Notation: \(x>0\)
For the number line, you would place an open circle at \(0\) (since \(x = 0\) is not included in the solution) and shade to the right of \(0\) to represent all values of \(x\) greater than \(0\).