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
Negative 3.2 minus x + 19.1 greater-than-or-equal-to 14.2

Answer 1

The correct inequality is

-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 → x ≥ -36.5.