Question

The sum of a number and 8 is no more than the square of the difference of the number and 4. Which of the following inequalities can be used to determine the unknown number?

Answer 1

x + 8 ≤ (x − 4)2

Explanation:

Let the number be x,

The sum of the number and 8 is

(x + 8)

The square of the difference of the number and 4 is

(x - 4) {}^{2}

Hence the inequality is

(x + 8) \leqslant (x - 4) {}^{2}