Question: What is the solution to the inequality 4 - x < 2?
Options:
x > 2
x < 2
x > 4
x < 4
Correct Answer: x < 4
Solution:
4 - x < 2 => -x < -2 => x > 2.
What is the solution to the inequality 4 - x < 2?
Practice Questions
Q1
What is the solution to the inequality 4 - x < 2?
x > 2
x < 2
x > 4
x < 4
Questions & Step-by-Step Solutions
What is the solution to the inequality 4 - x < 2?
Step 1: Start with the inequality: 4 - x < 2.
Step 2: To isolate -x, subtract 4 from both sides: 4 - x - 4 < 2 - 4.
Step 3: This simplifies to: -x < -2.
Step 4: To solve for x, multiply both sides by -1. Remember, when you multiply or divide by a negative number, you must flip the inequality sign: -x * -1 > -2 * -1.
Step 5: This gives you: x > 2.
No concepts available.
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