Question

-7y - 17 > 11

Part 1: Solve the inequality above.
Part 2: Describe the graph of the solution.

Answer 1

To solve this, first you have to separate variables and constants. To do that, add 17 to both sides:

-7y > 28

Now, isolate the variable by dividing both sides by -7. Remember when you multiply or divide by a negative number, the greater than changes to a less than. So, the solution is:

y < -4

The graph of this will be a number line with an open circle on -4, and everything to the left of -4 shaded, like this: