Seven times the sum of a number and 19 is at least 17.
7(x+19) > or = 17
To solve this problem, we need to translate the given sentence into an equation. Let's break it down step-by-step.
Let's assume the number is represented by the variable "x."
The sum of a number and 19 is x + 19.
Seven times this sum would be 7(x + 19).
Now, we can write the equation:
7(x + 19) ≥ 17
To solve this inequality, we can follow these steps:
1. Distribute 7 to the terms inside the parentheses:
7x + 133 ≥ 17
2. Subtract 133 from both sides to isolate the variable:
7x ≥ 17 - 133
Simplify:
7x ≥ -116
3. Divide both sides by 7 to solve for x:
x ≥ -116/7
Simplify:
x ≥ -16.57
So, the solution to the inequality is x is greater than or equal to -16.57.