Question

question solve for x and graph the solution on the number line below. 9 > x - 3 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: Add 3 to both sides

To solve the inequality \( 9 > x - 3 \), we add 3 to both sides of the inequality to isolate \( x \). This gives us \( 9 + 3 > x - 3 + 3 \).

Step2: Simplify both sides

Simplifying the left side: \( 9 + 3 = 12 \). Simplifying the right side: \( x - 3 + 3 = x \). So the inequality becomes \( 12 > x \), which can also be written as \( x < 12 \).

Answer:

Inequality Notation: \( x < 12 \)

For the number line: We draw an open circle at 12 (since the inequality is \( < \), not \( \leq \)) and shade the line to the left of 12 to represent all values of \( x \) less than 12.