Answer: The Inequality is true
Explanation:
AI-generated answer
To solve the inequality 3 ≥ x - 5, we can start by isolating the variable x.
To do this, we can add 5 to both sides of the inequality:
3 + 5 ≥ x - 5 + 5
8 ≥ x
So, x ≤ 8 is the solution to the inequality.
Now, let's graph the solution on the number line.
On the number line, we can mark the number 8 and shade the region to the left of it. This represents all the values of x that satisfy the inequality x ≤ 8.
Remember that the inequality includes the value 8, so we use a closed circle to represent it on the number line.
So, the graph of the solution on the number line would look like this:
-------------●--------------------
-∞ 8
Here, the closed circle at 8 indicates that 8 is included in the solution set, and the shaded region to the left of 8 represents all the values of x that make the inequality true.