Final answer:
To represent the relationship "two times a number increased by 7 is at least 5", we can use the equation 2x + 7 ≥ 5. The solution to the equation is x ≥ -1.
Step-by-step explanation:
To write an equation or inequality for the relationship "two times a number increased by 7 is at least 5", we can use the variable x to represent the number.
An equation that represents this relationship is: 2x + 7 ≥ 5. This equation states that when we double the number x, add 7 to it, the result is at least 5. To solve the equation, we need to isolate the variable x. Subtracting 7 from both sides gives us 2x ≥ -2. Finally, dividing both sides by 2 gives us x ≥ -1.