Question

solve for x and graph the solution on the number line below.
-20 ≥ 10x
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line.

Explanation:

Step1: Divide both sides by 10

To solve the inequality \(-20 \geq 10x\), we divide both sides by 10. Since 10 is positive, the direction of the inequality sign remains the same. So we have \(\frac{-20}{10} \geq \frac{10x}{10}\), which simplifies to \(-2 \geq x\). We can also write this as \(x \leq -2\).

Step2: Graph the solution (description)

On the number line, we find the point \(-2\). Since the inequality is \(x \leq -2\), we use a closed circle at \(-2\) (because the inequality includes equality, \(\leq\)) and shade the line to the left of \(-2\) to represent all values of \(x\) that are less than or equal to \(-2\).

Answer:

Inequality Notation: \(x \leq -2\)
(For the number line: Place a closed circle at \(-2\) and draw a line with an arrow pointing to the left from \(-2\) to cover all values less than or equal to \(-2\) on the given number line.)