Question: Find the solution to the inequality: -3x + 6 > 0.
Options:
x < 2
x > 2
x ≤ 2
x ≥ 2
Correct Answer: x > 2
Solution:
Step 1: Subtract 6 from both sides: -3x > -6. Step 2: Divide by -3 (reverse the inequality): x < 2.
Find the solution to the inequality: -3x + 6 > 0.
Practice Questions
Q1
Find the solution to the inequality: -3x + 6 > 0.
x < 2
x > 2
x ≤ 2
x ≥ 2
Questions & Step-by-Step Solutions
Find the solution to the inequality: -3x + 6 > 0.
Step 1: Start with the inequality -3x + 6 > 0.
Step 2: Subtract 6 from both sides to isolate the term with x. This gives you -3x > -6.
Step 3: Now, divide both sides by -3. Remember, when you divide by a negative number, you must reverse the inequality sign. So, -3x > -6 becomes x < 2.
Inequalities – Understanding how to manipulate and solve inequalities, including the rule of reversing the inequality sign when dividing by a negative number.
Algebraic Manipulation – Skills in performing algebraic operations such as addition, subtraction, multiplication, and division to isolate the variable.
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