Question

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

Explanation:

Step1: Solve the inequality

Given \(-1<\frac{x}{4}\). Multiply both sides by \(4\) (since \(4>0\), the inequality sign remains the same).
\(-1\times4 <\frac{x}{4}\times4\), which simplifies to \(-4 < x\) or \(x>-4\).

Step2: Graph on number line

On the number line, we draw an open circle at \(-4\) (because the inequality is strict, \(x
eq - 4\)) and shade to the right (since \(x\) is greater than \(-4\)). In inequality notation, it is \(x > - 4\).

Answer:

Inequality Notation: \(x > - 4\). On the number line, an open - circle at \(-4\) and shading to the right.