Find the solution set to the inequality, express the solution in set notation. -6(x - 5) > 42 Show your work in vertical form

Answer 1

To solve the inequality -6(x - 5) > 42, let's first distribute the -6:

-6x + 30 > 42

Next, subtract 30 from both sides:

-6x > 12

Now, divide both sides by -6. Since we are dividing by a negative number, we need to reverse the inequality symbol:

x < -2

Therefore, the solution set in set notation is {x | x < -2}.