Question

solve for x and graph the solution on the number line below. x - 3 > 9 answer attempt 1 out of 10 inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 submit answer

Explanation:

Step1: Add 3 to both sides

To solve the inequality \( x - 3 > 9 \), we add 3 to both sides of the inequality. This is based on the addition property of inequalities, which states that if we add the same number to both sides of an inequality, the direction of the inequality remains the same.
\[
x - 3 + 3 > 9 + 3
\]

Step2: Simplify both sides

Simplifying the left - hand side, \(x-3 + 3=x\). Simplifying the right - hand side, \(9 + 3 = 12\). So we get:
\[
x>12
\]

Answer:

Inequality Notation: \(x > 12\)
For the number line: We draw an open circle at \(x = 12\) (because the inequality is \(>\) and not \(\geq\)) and then draw an arrow to the right of 12 to represent all the numbers greater than 12.