Question

solve for x and graph the solution on the number line below.
9x > 45
answer attempt 1 out of 2
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
submit answer

Explanation:

Step1: Divide both sides by 9

To solve the inequality \(9x > 45\), we divide both sides by 9 (since 9 is positive, the inequality sign remains the same). So we have \(\frac{9x}{9} > \frac{45}{9}\).

Step2: Simplify both sides

Simplifying \(\frac{9x}{9}\) gives \(x\), and simplifying \(\frac{45}{9}\) gives 5. So the solution is \(x > 5\).

Answer:

Inequality Notation: \(x > 5\)

For the number line: We draw an open circle at 5 (because the inequality is \(>\) and not \(\geq\)) and shade the region to the right of 5 to represent all values of \(x\) greater than 5.