Question: Which of the following represents the solution to the inequality 4 - x < 2?
Options:
x < 2
x > 2
x < 4
x > 4
Correct Answer: x > 2
Solution:
4 - x < 2 => -x < -2 => x > 2.
Which of the following represents the solution to the inequality 4 - x < 2?
Practice Questions
Q1
Which of the following represents the solution to the inequality 4 - x < 2?
x < 2
x > 2
x < 4
x > 4
Questions & Step-by-Step Solutions
Which of the following represents 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. This gives you -x < 2 - 4.
Step 3: Simplify the right side. 2 - 4 equals -2, so now you have -x < -2.
Step 4: To solve for x, multiply both sides of the inequality by -1. Remember, when you multiply or divide by a negative number, you must flip the inequality sign.
Step 5: Flipping the inequality gives you x > 2.
No concepts available.
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