Solve the inequality and graph the solution.
5c–11<-1
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.
To solve the inequality 5c - 11 < -1, we can follow these steps:
1. Add 11 to both sides of the inequality to isolate the variable c:
5c - 11 + 11 < -1 + 11
5c < 10
2. Divide both sides of the inequality by 5 to solve for c:
(5c)/5 < 10/5
c < 2
Therefore, the solution to the inequality is c < 2.
To graph the solution on a number line, draw an open circle at 2 and shade all the values to the left of 2. Since the inequality is less than (not less than or equal to), we use an open circle to show that the value 2 is not included in the solution.