Determine the solution for the inequality -3x + 4 ≤ 1.
Practice Questions
Q1
Determine the solution for the inequality -3x + 4 ≤ 1.
x ≥ 1
x ≤ 1
x ≥ -1
x ≤ -1
Questions & Step-by-Step Solutions
Determine the solution for the inequality -3x + 4 ≤ 1.
Correct Answer: x ≥ 1
Step 1: Start with the inequality -3x + 4 ≤ 1.
Step 2: Subtract 4 from both sides to isolate the term with x. This gives you -3x ≤ 1 - 4.
Step 3: Simplify the right side. 1 - 4 equals -3, so 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. This changes the inequality to x ≥ 1.
Step 5: The solution to the inequality is x ≥ 1.
Inequalities – Understanding how to manipulate and solve linear inequalities.
Reversing Inequalities – Recognizing that multiplying or dividing by a negative number reverses the inequality sign.
