Question

solve for x and graph the solution on the number line below.
-21 ≥ -7x
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click 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

Simplify \(\frac{-21}{-7}\) to \(3\) and \(\frac{-7x}{-7}\) to \(x\). So we get \(3 \leq x\), which can also be written as \(x \geq 3\).

Answer:

Inequality Notation: \(x \geq 3\)