Solve the inequality and graph the solution.
15 + 17c ≤ –2
To solve the inequality, we will first isolate the variable c.
15 + 17c ≤ -2
Subtract 15 from both sides:
17c ≤ -2 - 15
17c ≤ -17
Now divide both sides by 17:
c ≤ -1
The solution to the inequality is c ≤ -1.
To graph the solution, we will draw a number line and shade the part of the line that represents c ≤ -1. Since -1 is included in the solution, we will use a closed circle when graphing.
On the number line, mark a point at -1 and draw a closed circle at that point. Then shade to the left of that point, representing all values of c less than or equal to -1.
The graph of the solution is as follows:
<-------●------------------------
c -1