Question

solve for x and graph the solution on the number line below.
4 < x - 1
answer attempt 3 out of 5
< > leq geq or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line
submit answer

Explanation:

Step1: Solve the inequality

To solve \( 4 < x - 1 \), we add 1 to both sides of the inequality.

$$ 4 + 1 < x - 1 + 1 $$

Simplifying both sides, we get:

$$ 5 < x $$

Which can also be written as \( x > 5 \).

Step2: Graph the solution on the number line

For the inequality \( x > 5 \), we use an open circle at 5 (since 5 is not included in the solution) and draw an arrow to the right (indicating all numbers greater than 5 are part of the solution).

Answer:

Inequality Notation: \( x > 5 \)
(For the number line: Place an open circle at 5 and draw an arrow pointing to the right.)