Question

The table below shows an inequality and a number by which to multiply both sides.

Inequality
Multiply each
side by
Negative 2 less-than 3
Negative 5

What is the resulting true inequality?
Negative 10 less-than negative 15
Negative 10 greater-than negative 15
10 less-than negative 15
10 greater-than negative 15

Answer 1

10 greater-than negative 15

Reason: Multiplying (-2 < 3) by -5 gives (-2)(-5) = 10 and 3(-5) = -15, and the inequality reverses when multiplying by a negative, so 10 > -15.