Question

solve for x and graph the solution on the number line below.
\\(\frac{x}{-4} > -2\\)
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line.
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Explanation:

Step1: Multiply both sides by -4

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

Step2: Calculate the right - hand side

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

Answer:

Inequality Notation: $x < 8$
Number Line: Plot an open circle at 8 (since the inequality is strict, $x$ cannot equal 8) and draw a line to the left of 8.