Which value of x is in the solution set of the following inequality? - 3x+5>17

Subtract 5 from both side, divide by-3. You should get X is less than - 4

-3x + 5 > 17 ... subtract 5 from both sides

-3x > 17 - 5

-3x > 12 ... divide both sides by - 3, and change the inequality sign

x < - 12/3

x < - 4 <===

* * In an inequality, when u multiply or divide by a negative number, u have to switch the inequality sign