Solving Inequalities: 1. Add or subtract to isolate the variable term. 2. Multiply or divide to solve for the variable. If you multiply or divide both sides by a negative number, then the_____ inequality symbol. Solve. -5x > 20 x_ -4
If you multiply or divide both sides by a negative number, then the inequality symbol will be reversed.
To solve the inequality -5x > 20, let's follow the steps:
1. Add or subtract to isolate the variable term.
We can start by subtracting 20 from both sides:
-5x - 20 > 0
2. Multiply or divide to solve for the variable.
Since the coefficient of x is -5, we need to divide both sides by -5. Remember that when dividing by a negative number, the inequality symbol will be reversed:
(-5x - 20) / -5 < 0 / -5
x + 4 < 0
Therefore, the solution to the inequality -5x > 20 is x < -4.