Question

solve for x and graph the solution on the number line. $\frac{x}{-4} > - 2$. answer attempt 1 out of 2. inequality notation: blank. number line: number - line with numbers from - 12 to 12 and instruction to click and drag to plot line. submit answer

Explanation:

Step1: Multiply both sides by -4

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $x < (-2)\times(-4)$.

Step2: Calculate the right - hand side

$(-2)\times(-4)=8$, so $x < 8$.

Answer:

Inequality Notation: $x < 8$
Number Line: On the number line, you would place an open circle at 8 (because 8 is not included in the solution set, due to the strict less - than sign) and draw an arrow to the left to represent all the numbers less than 8.