Question

solve for x and graph the solution on the number line below.
x - 9 ≤ -4
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Isolate the variable \(x\)

Add \(9\) to both sides of the inequality \(x - 9\leq - 4\).
Using the addition property of inequalities: \(x-9 + 9\leq-4 + 9\).

Step2: Simplify the expressions

Simplify the left - hand side: \(x-9 + 9=x\).
Simplify the right - hand side: \(-4 + 9 = 5\).

Answer:

Inequality Notation: \(x\leq5\)

To graph \(x\leq5\) on the number line:

• Place a closed circle at \(x = 5\) (because the inequality includes equality, i.e., \(x\) can be equal to \(5\)).
• Shade the line to the left of \(5\) (since \(x\) is less than or equal to \(5\)).