Solve the inequality -3x + 2 ≤ 5. What is the solution?
Practice Questions
1 question
Q1
Solve the inequality -3x + 2 ≤ 5. What is the solution?
x ≤ -1
x ≥ -1
x < -1
x > -1
-3x + 2 ≤ 5 => -3x ≤ 3 => x ≥ -1.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the inequality -3x + 2 ≤ 5. What is the solution?
Solution: -3x + 2 ≤ 5 => -3x ≤ 3 => x ≥ -1.
Steps: 5
Step 1: Start with the inequality -3x + 2 ≤ 5.
Step 2: Subtract 2 from both sides to isolate the term with x. This gives you -3x ≤ 5 - 2.
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 ≥ -1.
