Question

Solve the following inequality algebraically.
5/22x+82 28

Answer 1

To solve the given inequality 5/22x+82<28 algebraically, we first isolate the variable x and then simplify the inequality to obtain the solution x>-237.6.

Step-by-step explanation:

To solve the inequality algebraically, we will isolate the variable x.

1. Subtract 82 from both sides: (5/22)x < 28 - 82
2. Simplify the right side of the inequality: (5/22)x < -54
3. Multiply both sides by 22/5 to get the x term alone: x > (-54)(22/5)
4. Simplify the right side of the inequality: x > -237.6

The solution to the inequality is x > -237.6.

Learn more about Solving inequalities algebraically