Determine the solution for the inequality -3x + 1 ≤ 4.
Practice Questions
1 question
Q1
Determine the solution for the inequality -3x + 1 ≤ 4.
x ≥ -1
x ≤ -1
x ≥ 1
x ≤ 1
-3x + 1 ≤ 4 => -3x ≤ 3 => x ≥ -1.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution for the inequality -3x + 1 ≤ 4.
Solution: -3x + 1 ≤ 4 => -3x ≤ 3 => x ≥ -1.
Steps: 5
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.
