Question

Solve the inequality and graph the solution.

5 ≤ 9 – s

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality 5 ≤ 9 - s, we need to isolate the variable s on one side of the inequality:

5 ≤ 9 - s
To isolate s, we need to subtract 9 from both sides:
5 - 9 ≤ 9 - s - 9
-4 ≤ -s

To solve for s, we need to multiply both sides of the inequality by -1, but when we multiply or divide an inequality by a negative number, we must reverse the direction of the inequality sign:

-4(-1) ≥ -s(-1)
4 ≥ s

So, the solution to the inequality is s ≥ 4.

To graph the solution on a number line, we would plot a closed circle at the number 4 (to represent that it is included in the solution), and draw an arrow pointing to the right to indicate that all values greater than or equal to 4 are also included in the solution.

Here is how it would look on a number line:

-------------○------------------→
-3 -2 -1 0 1 2 3 4 5 6 ...

The closed circle at 4 indicates that 4 is included in the solution, and the arrow to the right shows that all values greater than 4 are also included.