Question

solve for ( x ) and graph the solution on the number line below.

-21 geq -7x

answer attempt 1 out of 2

inequality notation:

number line:

Explanation:

Step1: Divide both sides by -7

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-21}{-7} \leq \frac{-7x}{-7}$$

Step2: Simplify

Simplify the left - hand side $\frac{-21}{-7}=3$ and the right - hand side $\frac{-7x}{-7}=x$.
$$3\leq x$$
Which can be rewritten as $x\geq3$.

Answer:

Inequality Notation: $x\geq3$

To graph on the number line: Place a closed circle at \(3\) (because the inequality is $\geq$, including \(3\)) and shade to the right of \(3\) (since \(x\) is greater than or equal to \(3\)).