Question

solve for x and graph the solution on the number line below.
-1 ≥ -11 + x
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Add 11 to both sides

To solve the inequality \(-1 \geq -11 + x\), we add 11 to both sides to isolate the term with \(x\).
\[
-1 + 11 \geq -11 + 11 + x
\]

Step2: Simplify both sides

Simplifying the left side: \(-1 + 11 = 10\). Simplifying the right side: \(-11 + 11 = 0\), so we get \(10 \geq x\), which can also be written as \(x \leq 10\).

Answer:

Inequality Notation: \(x \leq 10\)

For the number line: We draw a closed circle at 10 (since the inequality is "less than or equal to") and shade the line to the left of 10 to represent all values of \(x\) that are less than or equal to 10.