Step 2: Subtract 7 from both sides to isolate the term with x. This gives us -2x ≥ 3 - 7.
Step 3: Simplify the right side. 3 - 7 equals -4, so now we have -2x ≥ -4.
Step 4: To solve for x, divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign. So, -2x / -2 becomes x, and -4 / -2 becomes 2.
Step 5: This gives us x ≤ 2 as the final answer.
Inequalities – Understanding how to manipulate and solve inequalities, including reversing the inequality sign when multiplying or dividing by a negative number.
Algebraic Manipulation – Skills in rearranging equations and isolating variables to find their values.