Determine the solution for the inequality -2x + 6 ≥ 0.
Practice Questions
1 question
Q1
Determine the solution for the inequality -2x + 6 ≥ 0.
x ≤ 3
x ≥ 3
x ≤ -3
x ≥ -3
-2x + 6 ≥ 0 => -2x ≥ -6 => x ≤ 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution for the inequality -2x + 6 ≥ 0.
Solution: -2x + 6 ≥ 0 => -2x ≥ -6 => x ≤ 3.
Steps: 3
Step 1: Start with the inequality -2x + 6 ≥ 0.
Step 2: To isolate the term with x, subtract 6 from both sides. This gives you -2x ≥ -6.
Step 3: Now, divide both sides of the inequality by -2. Remember, when you divide by a negative number, you must flip the inequality sign. So, -6 divided by -2 becomes 3, and the inequality changes direction: x ≤ 3.
