Determine the solution for the inequality -3x + 1 ≤ 4.
Practice Questions
Q1
Determine the solution for the inequality -3x + 1 ≤ 4.
x ≥ -1
x ≤ -1
x ≥ 1
x ≤ 1
Questions & Step-by-Step Solutions
Determine the solution for the inequality -3x + 1 ≤ 4.
Correct Answer: x ≥ -1
Step 1: Start with the inequality -3x + 1 ≤ 4.
Step 2: Subtract 1 from both sides to isolate the term with x. This gives you -3x ≤ 4 - 1.
Step 3: Simplify the right side. Now you have -3x ≤ 3.
Step 4: To solve for x, divide both sides by -3. Remember, when you divide by a negative number, you must flip the inequality sign. So it becomes x ≥ 3 / -3.
Step 5: Simplify the right side. This gives you x ≥ -1.
Inequalities – Understanding how to manipulate and solve linear inequalities.
Algebraic Manipulation – Applying operations to isolate the variable correctly.
Direction of Inequality – Recognizing how the direction of the inequality changes when multiplying or dividing by a negative number.
