Question

solve for x and graph the solution on the number line below.
4 < x - 1
answer attempt 1 out of 5
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot lines.

Explanation:

Step1: Solve the inequality for x

To solve \( 4 < x - 1 \), we add 1 to both sides of the inequality.
Adding 1 to both sides gives \( 4 + 1 < x - 1 + 1 \), which simplifies to \( 5 < x \) or \( x > 5 \).

Step2: Write in inequality notation

The solution in inequality notation is \( x > 5 \).

Step3: Graph on the number line

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

Answer:

Inequality Notation: \( x > 5 \)
(For the number line: Open circle at 5, shade to the right.)