Question: Solve the inequality -2x + 4 > 0. What is the solution?
Options:
x < 2
x > 2
x < -2
x > -2
Correct Answer: x > 2
Solution:
-2x + 4 > 0 => -2x > -4 => x < 2
Solve the inequality -2x + 4 > 0. What is the solution?
Practice Questions
Q1
Solve the inequality -2x + 4 > 0. What is the solution?
x < 2
x > 2
x < -2
x > -2
Questions & Step-by-Step Solutions
Solve the inequality -2x + 4 > 0. What is the solution?
Step 1: Start with the inequality -2x + 4 > 0.
Step 2: To isolate the term with x, subtract 4 from both sides. This gives you -2x > -4.
Step 3: Now, divide both sides of the inequality by -2. Remember, when you divide by a negative number, you must flip the inequality sign. So, -4 divided by -2 becomes 2, and the inequality changes from > to <.
Step 4: This gives you the final result: x < 2.
Inequalities – Understanding how to manipulate and solve linear inequalities.
Sign Reversal – Recognizing that when multiplying or dividing by a negative number, the inequality sign must be reversed.
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