Question

solve for x and graph the solution on the number line below. -7x ≥ 63 answer attempt 2 out of 2 < > ≤ ≥ or inequality notation: number line:

Explanation:

Step1: Divide both sides by -7

When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-7x}{-7}\leq\frac{63}{-7}$.

Step2: Simplify

We get $x\leq - 9$.

Answer:

Inequality Notation: $x\leq - 9$
Number - Line: On the number line, we put a closed circle at -9 (because the inequality includes equality, i.e., $x$ can be equal to -9) and shade the line to the left of -9 to represent all the values of $x$ that satisfy the inequality.