Solve the inequality and graph the solution.

11≥s/–3+10
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

1 answer

To solve the inequality 11 ≥ s/-3 + 10, we can start by isolating the variable s.

11 ≥ s/-3 + 10

To get rid of the fraction, we can multiply both sides of the inequality by -3. Since we are multiplying by a negative number, we need to flip the inequality symbol.

-3 * 11 ≤ s/-3 * -3 + 10 * -3

-33 ≤ s + 30

Next, we can subtract 30 from both sides of the inequality to isolate s.

-33 - 30 ≤ s + 30 - 30

-63 ≤ s

So, the solution to the inequality is s ≥ -63.

To graph the solution, we can plot a ray starting at -63 on a number line and pointing towards positive infinity. Since the inequality is greater than or equal to, we will mark the endpoint as closed by using a filled-in dot.

Here is a diagram showing the graph of the solution:
(-63]→