Determine the solution set for the inequality 7 - 3x < 1.
Practice Questions
Q1
Determine the solution set for the inequality 7 - 3x < 1.
x > 2
x < 2
x > 3
x < 3
Questions & Step-by-Step Solutions
Determine the solution set for the inequality 7 - 3x < 1.
Correct Answer: x > 2
Step 1: Start with the inequality: 7 - 3x < 1.
Step 2: Subtract 7 from both sides to isolate the term with x: -3x < 1 - 7.
Step 3: Simplify the right side: -3x < -6.
Step 4: Divide both sides by -3. Remember, when you divide by a negative number, you must flip the inequality sign: x > 2.
Inequalities – Understanding how to manipulate and solve inequalities, including reversing the inequality sign when multiplying or dividing by a negative number.
Algebraic Manipulation – Skills in rearranging equations and isolating variables to find solutions.
