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Determine the solution set for the inequality 6x + 4 < 10.
Practice Questions
Q1
Determine the solution set for the inequality 6x + 4 < 10.
x < 1
x > 1
x < 2
x > 2
Questions & Step-by-Step Solutions
Determine the solution set for the inequality 6x + 4 < 10.
Correct Answer: x < 1
Steps
Concepts
Step 1: Start with the inequality: 6x + 4 < 10.
Step 2: Subtract 4 from both sides to isolate the term with x: 6x + 4 - 4 < 10 - 4.
Step 3: This simplifies to: 6x < 6.
Step 4: Now, divide both sides by 6 to solve for x: 6x / 6 < 6 / 6.
Step 5: This simplifies to: x < 1.
Linear Inequalities
– Understanding how to manipulate and solve linear inequalities.
Isolating Variables
– The process of isolating the variable on one side of the inequality.
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