Solve the inequality -4x + 8 ≤ 0. What is the solution?
Practice Questions
1 question
Q1
Solve the inequality -4x + 8 ≤ 0. What is the solution?
x < 2
x > 2
x ≤ 2
x ≥ 2
-4x + 8 ≤ 0 => -4x ≤ -8 => x ≥ 2.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the inequality -4x + 8 ≤ 0. What is the solution?
Solution: -4x + 8 ≤ 0 => -4x ≤ -8 => x ≥ 2.
Steps: 4
Step 1: Start with the inequality -4x + 8 ≤ 0.
Step 2: To isolate the term with x, subtract 8 from both sides. This gives you -4x ≤ -8.
Step 3: Now, divide both sides by -4. Remember, when you divide by a negative number, you must flip the inequality sign. So, -8 divided by -4 becomes 2, and the inequality changes direction: x ≥ 2.