Final answer:
To solve the inequality 54+2x-5 > 25 algebraically, follow these steps: 1. Subtract 54 from both sides. 2. Add 5 to both sides. 3. Divide both sides by 2. The solution is x > -12.
Step-by-step explanation:
To solve the inequality 54+2x-5 > 25 algebraically, we need to isolate the variable x on one side of the inequality.
Step 1:
Subtract 54 from both sides of the equation to get rid of the constant term.
2x - 5 > 25 - 54
2x - 5 > -29
Step 2:
Add 5 to both sides to isolate the variable x.
2x > -29 + 5
2x > -24
Step 3:
Divide both sides by 2 to find the value of x.
x > −24 / 2
x > -12
Therefore, the solution to the inequality is x > -12.
Learn more about Solving algebraic inequalities