Question

solve for x and graph the solution on the number line below. -4 > 2x answer attempt 1 out of 2 inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line submit answer

Explanation:

Step1: Divide both sides by 2

To solve for \( x \) in the inequality \( -4 > 2x \), we divide both sides by 2. Since 2 is a positive number, the direction of the inequality sign remains the same.
\[
\frac{-4}{2} > \frac{2x}{2}
\]

Step2: Simplify both sides

Simplifying the left - hand side \( \frac{-4}{2}=-2 \) and the right - hand side \( \frac{2x}{2} = x \). So we get \( -2>x \), which can also be written as \( x < - 2 \).

Answer:

Inequality Notation: \( x < - 2 \)

For the number line: We draw an open circle at \( x=-2 \) (because the inequality is strict, \( x
eq - 2 \)) and shade the region to the left of \( - 2 \) on the number line.