Q. Solve for x.Your answer must be simplified.15<−5x
Isolate x: Isolate the variable x on one side of the inequality.To do this, we will divide both sides of the inequality by −5.Remember that when you divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign changes.15 < -5xrac{15}{-5} > x
Perform division: Perform the division to simplify the inequality. −515=−3So, -3 > x, which can also be written as x < -3.
Check solution: Check the solution.Choose a number less than −3, for example, −4, and substitute it into the original inequality to see if it holds true.15 < -5(-4)15 < 20This is true, so our solution seems correct.