Question

solve for x and graph the solution on the number line below.
\frac{x}{-2}<4
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Multiply both sides by -2

When multiplying both sides of an inequality by a negative number, the inequality sign flips. So, \(x>4\times(- 2)\)

Step2: Calculate the right - hand side

\(4\times(-2)=-8\), so \(x > - 8\)

Answer:

Inequality Notation: \(x>-8\)
On the number line, we draw an open circle at \(-8\) (because the inequality is strict, i.e., \(x
eq - 8\)) and shade the line to the right of \(-8\)