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?

A.
x + 8 < (x + 4)2
B.
x + 8 ≤ x2 − 4
C.
x + 8 ≤ (x − 4)2
D.
x + 8 < x2 + 42

Answer 1

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


The correct answer is C

Answer 2

The correct answer on PLATO is C