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