Solve the inequality and graph the solution on the line provided.
37, minus, 6, x, is greater than, minus, 5
37−6x>−5
First, solve the inequality:
37 - 6x > -5
-6x > -5 - 37
-6x > -42
Divide by -6, but remember to reverse the inequality sign when dividing by a negative number:
x < 7
Now, graph the solution on a number line:
<------------------[o)----------------------->
-10 -5 0 5 10 15 20 25
The solution to the inequality x < 7 is represented by an open circle at 7 on the number line, shading to the left to show that all values less than 7 are solutions to the inequality.