Question

solve for ( x ) and graph the solution on the number line below.
( 3 geq x - 5 )
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 5 to both sides

To solve the inequality \(3 \geq x - 5\), we add 5 to both sides to isolate \(x\).
\[
3 + 5 \geq x - 5 + 5
\]

Step2: Simplify both sides

Simplifying the left and right sides, we get:
\[
8 \geq x
\]
Which can also be written as \(x \leq 8\).

Answer:

Inequality Notation: \(x \leq 8\)

For the number line: We would draw a closed circle at 8 (since the inequality is "less than or equal to") and shade to the left of 8 to represent all values of \(x\) that are less than or equal to 8.