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Solve Linear Inequality 8x + 4 > x + 32
Published on March 7, 2026
Algebra
This algebra problem requires solving a one-variable linear inequality by isolating the variable x to find the solution set x > 4.
Question
Answer
The problem asks to solve the inequality for
We will solve this inequality step-by-step.
Step 1: Gather the terms with
Subtract
Step 2: Isolate the term with
Subtract 4 from both sides of the inequality:
Step 3: Solve for
Divide both sides by 7 (since 7 is positive, the inequality sign does not change):
The solution to the inequality
The requested next step for the input box, based on the initial inequality, would likely be the result of the first simplification, or the simplified inequality before the final division. If we consider the common steps:
- Initial Step (Subtract
): - Next Step (Subtract 4):
- Final Step (Divide by 7):
Since the prompt asks to “Enter your next step here” after stating the original inequality, the most logical first step shown in the input box is the result of isolating the variable terms:
Or, if it is expected to combine all steps into one entry (which is less common for “next step”):
Given the context of solving step-by-step, we present the process clearly. The expected input for the first step after the original inequality would be
Final Answer (The solution to the inequality):