Question: Determine the solution for the inequality -2x + 6 ≥ 0.
Options:
x ≤ 3
x ≥ 3
x ≤ -3
x ≥ -3
Correct Answer: x ≥ 3
Solution:
-2x + 6 ≥ 0 => -2x ≥ -6 => x ≤ 3.
Determine the solution for the inequality -2x + 6 ≥ 0.
Practice Questions
Q1
Determine the solution for the inequality -2x + 6 ≥ 0.
x ≤ 3
x ≥ 3
x ≤ -3
x ≥ -3
Questions & Step-by-Step Solutions
Determine the solution for the inequality -2x + 6 ≥ 0.
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.
Inequalities – Understanding how to manipulate and solve inequalities, including the effect of multiplying or dividing by negative numbers.
Algebraic Manipulation – Skills in rearranging equations and isolating variables to find solutions.
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