Solving Absolute Value Inequalities
To solve the inequality -9|c| < -50, divide both sides of the inequality by -9. However, remember that when you divide or multiply an inequality by a negative number, the direction of the inequality sign must be reversed.
Dividing both sides by -9, we get:
|c| > 50 / 9
The absolute value inequality |c| > 50/9 indicates that c can be greater than 50/9 or less than -50/9.
Hence, the solution to the inequality is:
c < -50/9 or c > 50/9
Since 50/9 is approximately 5.56, the solution in decimal form is:
c < -5.56 or c > 5.56
