How do you solve #5x + 7 > 17#?
You can perform all basic operations (addition, subtraction, plus multiplication and division by values greater than zero) on both sides of an inequality without invalidating the inequality. Multiplying or dividing by values less than zero reverses the inequality (not an issue for this example)
Solve a linear inequality (like this one) just like you would an equality (an equation) except for an inequality if you multiply or divide by a negative you have to change the direction of the inequality.
So, to solve:
Now we need to divide by
That is more clear to me if I write
Set Builder form: