Question

question
solve for x and graph the solution on the number line below.
-21 ≥ -7x
answer: attempt 1 out of 5
inequality notation:
number line:
touch and drag to plot line.

Explanation:

Step1: Divide both sides by -7

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-21 \geq -7x\) by \(-7\): \(\frac{-21}{-7} \leq \frac{-7x}{-7}\) (note the flip from \(\geq\) to \(\leq\)).

Step2: Simplify both sides

Simplifying, we get \(3 \leq x\), which can also be written as \(x \geq 3\).

Answer:

Inequality Notation: \(x \geq 3\)
For the number line: Place a closed circle at 3 (since the inequality is "greater than or equal to") and draw an arrow to the right to represent all numbers greater than or equal to 3.