Question

solve for ( x ) and graph the solution on the number line below.
( -4 geq x - 11 )
answer attempt 1 out of 5

inequality notation:

number line:

Explanation:

Step1: Add 11 to both sides

$$-4 + 11\geq x-11 + 11$$

Step2: Simplify the inequality

$$7\geq x$$
which can be rewritten as \(x\leq7\)

Answer:

Inequality Notation: \(x\leq7\)

To graph on the number - line: Place a closed circle at \(x = 7\) (because the inequality includes equality, i.e., \(\geq\) is equivalent to \(\leq\) when reversed) and draw a line to the left of \(7\) towards negative infinity.