Question: Solve the inequality -3x + 2 ≤ 5. What is the solution?
Options:
x ≤ -1
x ≥ -1
x < -1
x > -1
Correct Answer: x ≥ -1
Solution:
-3x + 2 ≤ 5 => -3x ≤ 3 => x ≥ -1.
Solve the inequality -3x + 2 ≤ 5. What is the solution?
Practice Questions
Q1
Solve the inequality -3x + 2 ≤ 5. What is the solution?
x ≤ -1
x ≥ -1
x < -1
x > -1
Questions & Step-by-Step Solutions
Solve the inequality -3x + 2 ≤ 5. What is the solution?
Correct Answer: x ≥ -1
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.
Step 5: The solution to the inequality is x ≥ -1.
Inequalities – Understanding how to manipulate and solve linear inequalities.
Isolation of Variable – The process of isolating the variable on one side of the inequality.
Reversing Inequality – Recognizing when to reverse the inequality sign, particularly when multiplying or dividing by a negative number.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
