Find the solution set for the inequality 7 - 3x > 1.
Practice Questions
Q1
Find the solution set for the inequality 7 - 3x > 1.
x < 2
x > 2
x < 3
x > 3
Questions & Step-by-Step Solutions
Find the solution set for the inequality 7 - 3x > 1.
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.
