Question #6444210Fill in the Blank
Algebra-1
Question
Solve the linear inequality 7x - 3 < 25. The solution set is x < ______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a single-variable linear inequality. The solution involves isolating the variable and determining the set of values that satisfy the inequality.
This question tests the student's ability to solve a single-variable linear inequality. The solution involves isolating the variable and determining the set of values that satisfy the inequality.
Key Concept Explanation
Solving a single-variable linear inequality is similar to solving a linear equation. The goal is to isolate the variable on one side of the inequality. The direction of the inequality sign must be reversed if both sides are multiplied or divided by a negative number.
Solving a single-variable linear inequality is similar to solving a linear equation. The goal is to isolate the variable on one side of the inequality. The direction of the inequality sign must be reversed if both sides are multiplied or divided by a negative number.
Step-by-step Solution
1. Start with the given inequality: 7x - 3 < 25
2. Add 3 to both sides: 7x < 28
3. Divide both sides by 7:
1. Start with the given inequality: 7x - 3 < 25
2. Add 3 to both sides: 7x < 28
3. Divide both sides by 7:
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