Question: Find the solution set for the inequality -2x + 4 < 0.
Options:
x > 2
x < 2
x > 4
x < 4
Correct Answer: x > 2
Solution:
Subtract 4 from both sides: -2x < -4. Then divide by -2 (reverse the inequality): x > 2.
Find the solution set for the inequality -2x + 4 < 0.
Practice Questions
Q1
Find the solution set for the inequality -2x + 4 < 0.
x > 2
x < 2
x > 4
x < 4
Questions & Step-by-Step Solutions
Find the solution set for the inequality -2x + 4 < 0.
Correct Answer: x > 2
Step 1: Start with the inequality -2x + 4 < 0.
Step 2: Subtract 4 from both sides to isolate the term with x. This gives you -2x < -4.
Step 3: Now, divide both sides by -2. Remember, when you divide by a negative number, you must reverse the inequality sign. So, -2x < -4 becomes x > 2.
Inequalities – Understanding how to manipulate inequalities, including reversing the inequality sign when dividing by a negative number.
Algebraic Manipulation – Skills in performing operations such as addition, subtraction, multiplication, and division on both sides of an inequality.
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