Final answer:
The difference between 11 and 1/4 of a number is represented by the equation 11 - (1/4)x. Solving this inequality results in x <= 76, which means any number less than or equal to 76 satisfies the given condition.
Step-by-step explanation:
The difference between 11 and 1/4 of a number is represented by the equation: 11 - (1/4)x. We are given that this difference is no less than -8, which can be written as:
11 - (1/4)x >= -8
To solve this inequality, we can isolate the variable x by subtracting 11 from both sides:
- (1/4)x >= -19
Next, we can multiply both sides of the inequality by -4 to remove the fraction and change the direction of the inequality sign:
x <= 76
Therefore, the solution to the inequality is x <= 76. This means that any number less than or equal to 76 satisfies the given condition.