Question

Which inequality represents the sentence below?

The difference of –3.2 and the sum of a number and 19.1 is at most 14.2.
Negative 3.2 minus (x + 19.1) less-than-or-equal-to 14.2
Negative 3.2 minus x + 19.1 less-than-or-equal-to 14.2
Negative 3.2 minus (x + 19.1) greater-than-or-equal-to 14.2

Answer 1

The correct inequality is the first:
-3.2 − (x + 19.1) ≤ 14.2.

(If you simplify: −3.2 − x − 19.1 ≤ 14.2 → −x − 22.3 ≤ 14.2 → x ≥ −36.5.)