Final answer:
To solve the inequality, combine like terms, isolate the variable x, and reverse the inequality symbol when dividing by a negative number.
Step-by-step explanation:
To solve the inequality 1-2x+61-8<4, we can start by combining like terms and simplifying the expression: 54-2x<4. Next, we can isolate the variable x by subtracting 54 from both sides, resulting in -2x<-50. To solve for x, we divide both sides of the inequality by -2, remembering to reverse the inequality symbol since we are dividing by a negative number. This gives us x>25.
However, when solving inequalities, we need to remember to reverse the inequality symbol if we multiply or divide both sides by a negative number. This means that our final answer is x>25, which can be written as x is greater than 25. Therefore, the correct answer is D. -3<x<9.
Learn more about Solving linear inequalities